21307911819264 has 520 divisors, whose sum is σ = 73939227550848. Its totient is φ = 5988132126720.

The previous prime is 21307911819017. The next prime is 21307911819283. The reversal of 21307911819264 is 46291811970312.

21307911819264 is a `hidden beast` number, since 2 + 1 + 307 + 91 + 1 + 8 + 192 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21307911819264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141593149 + ... + 141743555.

Almost surely, 2^{21307911819264} is an apocalyptic number.

21307911819264 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 21307911819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36969613775424).

21307911819264 is an abundant number, since it is smaller than the sum of its proper divisors (52631315731584).

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

21307911819264 is an equidigital number, since it uses as much as digits as its factorization.

21307911819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150511 (or 150480 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 21307911819264 in words is "twenty-one trillion, three hundred seven billion, nine hundred eleven million, eight hundred nineteen thousand, two hundred sixty-four".