10472151257568 has 2304 divisors, whose sum is σ = 44400452382720. Its totient is φ = 2328112005120.

The previous prime is 10472151257489. The next prime is 10472151257587. The reversal of 10472151257568 is 86575215127401.

10472151257568 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 2 + 1 + 5 + 1 + 2 + 575 + 68 = 666.

It is a super-2 number, since 2×10472151257568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11806258021 + ... + 11806258907.

It is an arithmetic number, because the mean of its divisors is an integer number (19271029680).

Almost surely, 2^{10472151257568} is an apocalyptic number.

10472151257568 is a gapful number since it is divisible by the number (18) 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 10472151257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22200226191360).

10472151257568 is an abundant number, since it is smaller than the sum of its proper divisors (33928301125152).

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

10472151257568 is a wasteful number, since it uses less digits than its factorization.

10472151257568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 10472151257568 in words is "ten trillion, four hundred seventy-two billion, one hundred fifty-one million, two hundred fifty-seven thousand, five hundred sixty-eight".