10713001420800 has 2016 divisors, whose sum is σ = 46007573451840. Its totient is φ = 2422230220800.

The previous prime is 10713001420799. The next prime is 10713001420801. The reversal of 10713001420800 is 802410031701.

10713001420800 is a `hidden beast` number, since 107 + 130 + 0 + 1 + 420 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10713001420799) and next prime (10713001420801).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×10713001420800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10713001420801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34226841444 + ... + 34226841756.

It is an arithmetic number, because the mean of its divisors is an integer number (22821216990).

Almost surely, 2^{10713001420800} is an apocalyptic number.

10713001420800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713001420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23003786725920).

10713001420800 is an abundant number, since it is smaller than the sum of its proper divisors (35294572031040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10713001420800 is an equidigital number, since it uses as much as digits as its factorization.

10713001420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10713001420800 in words is "ten trillion, seven hundred thirteen billion, one million, four hundred twenty thousand, eight hundred".