20975952650400 has 1584 divisors, whose sum is σ = 86137265174688. Its totient is φ = 4943109888000.

The previous prime is 20975952650381. The next prime is 20975952650413. The reversal of 20975952650400 is 405625957902.

20975952650400 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 595 + 2 + 6 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 19226353855 + ... + 19226354945.

Almost surely, 2^{20975952650400} is an apocalyptic number.

20975952650400 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 20975952650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068632587344).

20975952650400 is an abundant number, since it is smaller than the sum of its proper divisors (65161312524288).

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

20975952650400 is a wasteful number, since it uses less digits than its factorization.

20975952650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 20975952650400 in words is "twenty trillion, nine hundred seventy-five billion, nine hundred fifty-two million, six hundred fifty thousand, four hundred".