10056543876024 has 512 divisors, whose sum is σ = 28427732213760. Its totient is φ = 2948379033600.

The previous prime is 10056543875999. The next prime is 10056543876059. The reversal of 10056543876024 is 42067834565001.

It is a super-2 number, since 2×10056543876024² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 35535490587 + ... + 35535490869.

It is an arithmetic number, because the mean of its divisors is an integer number (55522914480).

Almost surely, 2^{10056543876024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056543876024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213866106880).

10056543876024 is an abundant number, since it is smaller than the sum of its proper divisors (18371188337736).

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

10056543876024 is a wasteful number, since it uses less digits than its factorization.

10056543876024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 10056543876024 in words is "ten trillion, fifty-six billion, five hundred forty-three million, eight hundred seventy-six thousand, twenty-four".