10056975432000 has 448 divisors, whose sum is σ = 38042996060160. Its totient is φ = 2293234944000.

The previous prime is 10056975431981. The next prime is 10056975432001. The reversal of 10056975432000 is 23457965001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10056975432000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056975432001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70320565 + ... + 70463435.

It is an arithmetic number, because the mean of its divisors is an integer number (84917401920).

Almost surely, 2^{10056975432000} is an apocalyptic number.

10056975432000 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 10056975432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021498030080).

10056975432000 is an abundant number, since it is smaller than the sum of its proper divisors (27986020628160).

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

10056975432000 is a wasteful number, since it uses less digits than its factorization.

10056975432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143327 (or 143307 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 10056975432000 in words is "ten trillion, fifty-six billion, nine hundred seventy-five million, four hundred thirty-two thousand".