10713128025600 has 2880 divisors, whose sum is σ = 52354812077568. Its totient is φ = 2019852288000.

The previous prime is 10713128025599. The next prime is 10713128025617. The reversal of 10713128025600 is 652082131701.

10713128025600 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 3 + 1 + 28 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×10713128025600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7034226439 + ... + 7034227961.

Almost surely, 2^{10713128025600} is an apocalyptic number.

10713128025600 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 10713128025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177406038784).

10713128025600 is an abundant number, since it is smaller than the sum of its proper divisors (41641684051968).

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

10713128025600 is a wasteful number, since it uses less digits than its factorization.

10713128025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10713128025600 in words is "ten trillion, seven hundred thirteen billion, one hundred twenty-eight million, twenty-five thousand, six hundred".