10005612480000 has 2400 divisors, whose sum is σ = 41085745477920. Its totient is φ = 2424619008000.

The previous prime is 10005612479987. The next prime is 10005612480001. The reversal of 10005612480000 is 8421650001.

10005612480000 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 612 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×10005612480000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005612480001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 345021119986 + ... + 345021120014.

Almost surely, 2^{10005612480000} is an apocalyptic number.

10005612480000 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 10005612480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542872738960).

10005612480000 is an abundant number, since it is smaller than the sum of its proper divisors (31080132997920).

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

10005612480000 is an frugal number, since it uses more digits than its factorization.

10005612480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10005612480000 in words is "ten trillion, five billion, six hundred twelve million, four hundred eighty thousand".