10500056001072 has 240 divisors, whose sum is σ = 32409691861248. Its totient is φ = 3146925150720.

The previous prime is 10500056000971. The next prime is 10500056001079. The reversal of 10500056001072 is 27010065000501.

10500056001072 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 0 + 5 + 600 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×10500056001072² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500056001079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103845613 + ... + 103946675.

Almost surely, 2^{10500056001072} is an apocalyptic number.

10500056001072 is a gapful number since it is divisible by the number (12) 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 10500056001072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204845930624).

10500056001072 is an abundant number, since it is smaller than the sum of its proper divisors (21909635860176).

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

10500056001072 is a wasteful number, since it uses less digits than its factorization.

10500056001072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101808 (or 101799 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10500056001072 in words is "ten trillion, five hundred billion, fifty-six million, one thousand, seventy-two".