21514265136 has 1080 divisors, whose sum is σ = 86941221120. Its totient is φ = 4839284736.

The previous prime is 21514265077. The next prime is 21514265147. The reversal of 21514265136 is 63156241512.

21514265136 is a `hidden beast` number, since 2 + 1 + 514 + 2 + 6 + 5 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21514265136.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 935402821 + ... + 935402843.

Almost surely, 2^21514265136 is an apocalyptic number.

21514265136 is a gapful number since it is divisible by the number (26) 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 21514265136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43470610560).

21514265136 is an abundant number, since it is smaller than the sum of its proper divisors (65426955984).

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

21514265136 is a wasteful number, since it uses less digits than its factorization.

21514265136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 21514265136 in words is "twenty-one billion, five hundred fourteen million, two hundred sixty-five thousand, one hundred thirty-six".