21676387622400 has 2880 divisors, whose sum is σ = 96512411381760. Its totient is φ = 4746122035200.

The previous prime is 21676387622251. The next prime is 21676387622443. The reversal of 21676387622400 is 422678367612.

21676387622400 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 6 + 3 + 8 + 7 + 622 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82419724669 + ... + 82419724931.

It is an arithmetic number, because the mean of its divisors is an integer number (33511253952).

Almost surely, 2^{21676387622400} is an apocalyptic number.

21676387622400 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 21676387622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48256205690880).

21676387622400 is an abundant number, since it is smaller than the sum of its proper divisors (74836023759360).

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

21676387622400 is a wasteful number, since it uses less digits than its factorization.

21676387622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 21676387622400 in words is "twenty-one trillion, six hundred seventy-six billion, three hundred eighty-seven million, six hundred twenty-two thousand, four hundred".