10556150115040 has 384 divisors, whose sum is σ = 28383326899200. Its totient is φ = 3690402693120.

The previous prime is 10556150115029. The next prime is 10556150115079. The reversal of 10556150115040 is 4051105165501.

It is a super-2 number, since 2×10556150115040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556150114987 and 10556150115005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218615700 + ... + 218663980.

It is an arithmetic number, because the mean of its divisors is an integer number (73914913800).

Almost surely, 2^{10556150115040} is an apocalyptic number.

10556150115040 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 10556150115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191663449600).

10556150115040 is an abundant number, since it is smaller than the sum of its proper divisors (17827176784160).

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

10556150115040 is a wasteful number, since it uses less digits than its factorization.

10556150115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48450 (or 48442 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 10556150115040 in words is "ten trillion, five hundred fifty-six billion, one hundred fifty million, one hundred fifteen thousand, forty".