10531207147392 has 768 divisors, whose sum is σ = 34419326760000. Its totient is φ = 3074115502080.

The previous prime is 10531207147387. The next prime is 10531207147403. The reversal of 10531207147392 is 29374170213501.

10531207147392 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 20 + 71 + 473 + 92 = 666.

It is a super-2 number, since 2×10531207147392² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932683484 + ... + 1932688932.

Almost surely, 2^{10531207147392} is an apocalyptic number.

10531207147392 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 10531207147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209663380000).

10531207147392 is an abundant number, since it is smaller than the sum of its proper divisors (23888119612608).

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

10531207147392 is a wasteful number, since it uses less digits than its factorization.

10531207147392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10531207147392 in words is "ten trillion, five hundred thirty-one billion, two hundred seven million, one hundred forty-seven thousand, three hundred ninety-two".