21463564016400 has 360 divisors, whose sum is σ = 79677030846624. Its totient is φ = 4897211596800.

The previous prime is 21463564016369. The next prime is 21463564016423. The reversal of 21463564016400 is 461046536412.

It is a super-2 number, since 2×21463564016400² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1001604 + ... + 6627996.

Almost surely, 2^{21463564016400} is an apocalyptic number.

21463564016400 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 21463564016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39838515423312).

21463564016400 is an abundant number, since it is smaller than the sum of its proper divisors (58213466830224).

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

21463564016400 is a wasteful number, since it uses less digits than its factorization.

21463564016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626459 (or 5626431 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 21463564016400 in words is "twenty-one trillion, four hundred sixty-three billion, five hundred sixty-four million, sixteen thousand, four hundred".