21264035256126 has 64 divisors (see below), whose sum is σ = 50941689099840. Its totient is φ = 6535914416640.

The previous prime is 21264035256119. The next prime is 21264035256133. The reversal of 21264035256126 is 62165253046212.

21264035256126 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 4 + 0 + 3 + 5 + 25 + 612 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21264035256119) and next prime (21264035256133).

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, 15223255 + ... + 16561266.

It is an arithmetic number, because the mean of its divisors is an integer number (795963892185).

Almost surely, 2^{21264035256126} is an apocalyptic number.

21264035256126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21264035256126 is an abundant number, since it is smaller than the sum of its proper divisors (29677653843714).

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

21264035256126 is a wasteful number, since it uses less digits than its factorization.

21264035256126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31785498 (or 31785492 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 21264035256126 in words is "twenty-one trillion, two hundred sixty-four billion, thirty-five million, two hundred fifty-six thousand, one hundred twenty-six".