21136295414700 has 180 divisors, whose sum is σ = 68584267482192. Its totient is φ = 5630689987200.

The previous prime is 21136295414699. The next prime is 21136295414743. The reversal of 21136295414700 is 741459263112.

21136295414700 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 62 + 9 + 541 + 47 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6767065 + ... + 9384335.

Almost surely, 2^{21136295414700} is an apocalyptic number.

21136295414700 is a gapful number since it is divisible by the number (20) 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 21136295414700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292133741096).

21136295414700 is an abundant number, since it is smaller than the sum of its proper divisors (47447972067492).

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

21136295414700 is a wasteful number, since it uses less digits than its factorization.

21136295414700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618294 (or 2618278 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21136295414700 in words is "twenty-one trillion, one hundred thirty-six billion, two hundred ninety-five million, four hundred fourteen thousand, seven hundred".