10538915659776 has 816 divisors, whose sum is σ = 35896886625600. Its totient is φ = 2977997783040.

The previous prime is 10538915659771. The next prime is 10538915659793. The reversal of 10538915659776 is 67795651983501.

10538915659776 is a `hidden beast` number, since 1 + 0 + 5 + 389 + 156 + 5 + 97 + 7 + 6 = 666.

It is a super-2 number, since 2×10538915659776² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10538915659771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22860988186 + ... + 22860988646.

Almost surely, 2^{10538915659776} is an apocalyptic number.

10538915659776 is a gapful number since it is divisible by the number (16) 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 10538915659776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948443312800).

10538915659776 is an abundant number, since it is smaller than the sum of its proper divisors (25357970965824).

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

10538915659776 is an frugal number, since it uses more digits than its factorization.

10538915659776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 72.

The spelling of 10538915659776 in words is "ten trillion, five hundred thirty-eight billion, nine hundred fifteen million, six hundred fifty-nine thousand, seven hundred seventy-six".