21532698770700 has 288 divisors, whose sum is σ = 70669926835200. Its totient is φ = 5018191073280.

The previous prime is 21532698770699. The next prime is 21532698770707. The reversal of 21532698770700 is 707789623512.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (21532698770707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117208516 + ... + 117392084.

It is an arithmetic number, because the mean of its divisors is an integer number (245381690400).

Almost surely, 2^{21532698770700} is an apocalyptic number.

21532698770700 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 21532698770700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35334963417600).

21532698770700 is an abundant number, since it is smaller than the sum of its proper divisors (49137228064500).

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

21532698770700 is a wasteful number, since it uses less digits than its factorization.

21532698770700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185201 (or 185194 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 21532698770700 in words is "twenty-one trillion, five hundred thirty-two billion, six hundred ninety-eight million, seven hundred seventy thousand, seven hundred".