10540288935792 has 160 divisors (see below), whose sum is σ = 37719937436160. Its totient is φ = 2737737377280.

The previous prime is 10540288935733. The next prime is 10540288935811. The reversal of 10540288935792 is 29753988204501.

10540288935792 is a `hidden beast` number, since 1 + 0 + 5 + 402 + 8 + 8 + 93 + 57 + 92 = 666.

It is a super-2 number, since 2×10540288935792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158400613 + ... + 158467140.

It is an arithmetic number, because the mean of its divisors is an integer number (235749608976).

Almost surely, 2^{10540288935792} is an apocalyptic number.

10540288935792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540288935792 is an abundant number, since it is smaller than the sum of its proper divisors (27179648500368).

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

10540288935792 is a wasteful number, since it uses less digits than its factorization.

10540288935792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316867788 (or 316867776 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 10540288935792 in words is "ten trillion, five hundred forty billion, two hundred eighty-eight million, nine hundred thirty-five thousand, seven hundred ninety-two".