21464701315200 has 3072 divisors, whose sum is σ = 94670340710400. Its totient is φ = 4681359360000.

The previous prime is 21464701315157. The next prime is 21464701315217. The reversal of 21464701315200 is 251310746412.

21464701315200 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 470 + 131 + 52 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128531145517 + ... + 128531145683.

It is an arithmetic number, because the mean of its divisors is an integer number (30817168200).

Almost surely, 2^{21464701315200} is an apocalyptic number.

21464701315200 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 21464701315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47335170355200).

21464701315200 is an abundant number, since it is smaller than the sum of its proper divisors (73205639395200).

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

21464701315200 is a wasteful number, since it uses less digits than its factorization.

21464701315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21464701315200 in words is "twenty-one trillion, four hundred sixty-four billion, seven hundred one million, three hundred fifteen thousand, two hundred".