264406052534100 has 72 divisors (see below), whose sum is σ = 789692743596288. Its totient is φ = 68233820006400.

The previous prime is 264406052534089. The next prime is 264406052534111. The reversal of 264406052534100 is 1435250604462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264406052534089) and next prime (264406052534111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14215369869 + ... + 14215388468.

Almost surely, 2^{264406052534100} is an apocalyptic number.

264406052534100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264406052534100 is an abundant number, since it is smaller than the sum of its proper divisors (525286691062188).

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

264406052534100 is a wasteful number, since it uses less digits than its factorization.

264406052534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28430758385 (or 28430758378 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 264406052534100 in words is "two hundred sixty-four trillion, four hundred six billion, fifty-two million, five hundred thirty-four thousand, one hundred".