21616711670400 has 384 divisors, whose sum is σ = 88768889141760. Its totient is φ = 4491784089600.

The previous prime is 21616711670363. The next prime is 21616711670417. The reversal of 21616711670400 is 407611761612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13882494 + ... + 15360893.

It is an arithmetic number, because the mean of its divisors is an integer number (231168982140).

Almost surely, 2^{21616711670400} is an apocalyptic number.

21616711670400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21616711670400 is an abundant number, since it is smaller than the sum of its proper divisors (67152177471360).

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

21616711670400 is a wasteful number, since it uses less digits than its factorization.

21616711670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29243432 (or 29243415 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 21616711670400 in words is "twenty-one trillion, six hundred sixteen billion, seven hundred eleven million, six hundred seventy thousand, four hundred".