21642127796700 has 432 divisors, whose sum is σ = 69472954133856. Its totient is φ = 5633180467200.

The previous prime is 21642127796687. The next prime is 21642127796713. The reversal of 21642127796700 is 769772124612.

21642127796700 is a `hidden beast` number, since 216 + 4 + 2 + 1 + 277 + 96 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21642127796687) and next prime (21642127796713).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8772648867 + ... + 8772651333.

It is an arithmetic number, because the mean of its divisors is an integer number (160817023458).

Almost surely, 2^{21642127796700} is an apocalyptic number.

21642127796700 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 21642127796700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34736477066928).

21642127796700 is an abundant number, since it is smaller than the sum of its proper divisors (47830826337156).

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

21642127796700 is a wasteful number, since it uses less digits than its factorization.

21642127796700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 21642127796700 in words is "twenty-one trillion, six hundred forty-two billion, one hundred twenty-seven million, seven hundred ninety-six thousand, seven hundred".