76544302110138 has 48 divisors (see below), whose sum is σ = 165884545004256. Its totient is φ = 25508836211040.

The previous prime is 76544302110127. The next prime is 76544302110149. The reversal of 76544302110138 is 83101120344567.

76544302110138 is a `hidden beast` number, since 7 + 6 + 54 + 430 + 21 + 10 + 138 = 666.

It is an interprime number because it is at equal distance from previous prime (76544302110127) and next prime (76544302110149).

It is a junction number, because it is equal to n+sod(n) for n = 76544302110093 and 76544302110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2449166920 + ... + 2449198172.

It is an arithmetic number, because the mean of its divisors is an integer number (3455928020922).

Almost surely, 2^{76544302110138} is an apocalyptic number.

76544302110138 is an abundant number, since it is smaller than the sum of its proper divisors (89340242894118).

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

76544302110138 is a wasteful number, since it uses less digits than its factorization.

76544302110138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58539 (or 58536 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76544302110138 in words is "seventy-six trillion, five hundred forty-four billion, three hundred two million, one hundred ten thousand, one hundred thirty-eight".