21980092658400 has 432 divisors, whose sum is σ = 80485035190560. Its totient is φ = 5637710131200.

The previous prime is 21980092658357. The next prime is 21980092658431. The reversal of 21980092658400 is 485629008912.

It is a happy number.

21980092658400 is a `hidden beast` number, since 2 + 1 + 98 + 0 + 0 + 92 + 65 + 8 + 400 = 666.

21980092658400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54714270 + ... + 55114530.

It is an arithmetic number, because the mean of its divisors is an integer number (186307951830).

Almost surely, 2^{21980092658400} is an apocalyptic number.

21980092658400 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 21980092658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40242517595280).

21980092658400 is an abundant number, since it is smaller than the sum of its proper divisors (58504942532160).

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

21980092658400 is a wasteful number, since it uses less digits than its factorization.

21980092658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400579 (or 400563 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21980092658400 in words is "twenty-one trillion, nine hundred eighty billion, ninety-two million, six hundred fifty-eight thousand, four hundred".