21138034263264 has 288 divisors, whose sum is σ = 68704680582720. Its totient is φ = 6124479922176.

The previous prime is 21138034263239. The next prime is 21138034263271. The reversal of 21138034263264 is 46236243083112.

21138034263264 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 8 + 0 + 3 + 4 + 2 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29194 + ... + 6502070.

It is an arithmetic number, because the mean of its divisors is an integer number (238557918690).

Almost surely, 2^{21138034263264} is an apocalyptic number.

21138034263264 is a gapful number since it is divisible by the number (24) 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 21138034263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352340291360).

21138034263264 is an abundant number, since it is smaller than the sum of its proper divisors (47566646319456).

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

21138034263264 is a wasteful number, since it uses less digits than its factorization.

21138034263264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472962 (or 6472951 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 21138034263264 in words is "twenty-one trillion, one hundred thirty-eight billion, thirty-four million, two hundred sixty-three thousand, two hundred sixty-four".