26829348456 has 64 divisors (see below), whose sum is σ = 71036481600. Its totient is φ = 8414962688.

The previous prime is 26829348431. The next prime is 26829348493. The reversal of 26829348456 is 65484392862.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26829348396 and 26829348405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966950 + ... + 2975978.

It is an arithmetic number, because the mean of its divisors is an integer number (1109945025).

Almost surely, 2^26829348456 is an apocalyptic number.

It is an amenable number.

26829348456 is an abundant number, since it is smaller than the sum of its proper divisors (44207133144).

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

26829348456 is a wasteful number, since it uses less digits than its factorization.

26829348456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16338 (or 16334 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 26829348456 in words is "twenty-six billion, eight hundred twenty-nine million, three hundred forty-eight thousand, four hundred fifty-six".