21975596596800 has 6804 divisors, whose sum is σ = 113532828933888. Its totient is φ = 4004453376000.

The previous prime is 21975596596771. The next prime is 21975596596853. The reversal of 21975596596800 is 869569557912.

21975596596800 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 559 + 6 + 5 + 9 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 708890212785 + ... + 708890212815.

Almost surely, 2^{21975596596800} is an apocalyptic number.

21975596596800 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 21975596596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766414466944).

21975596596800 is an abundant number, since it is smaller than the sum of its proper divisors (91557232337088).

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

21975596596800 is a wasteful number, since it uses less digits than its factorization.

21975596596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 72.

The spelling of 21975596596800 in words is "twenty-one trillion, nine hundred seventy-five billion, five hundred ninety-six million, five hundred ninety-six thousand, eight hundred".