21531395810160 has 960 divisors, whose sum is σ = 80225873215488. Its totient is φ = 5353762563072.

The previous prime is 21531395810159. The next prime is 21531395810233. The reversal of 21531395810160 is 6101859313512.

21531395810160 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 1 + 3 + 9 + 581 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15130987209 + ... + 15130988631.

Almost surely, 2^{21531395810160} is an apocalyptic number.

21531395810160 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 21531395810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40112936607744).

21531395810160 is an abundant number, since it is smaller than the sum of its proper divisors (58694477405328).

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

21531395810160 is a wasteful number, since it uses less digits than its factorization.

21531395810160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 21531395810160 in words is "twenty-one trillion, five hundred thirty-one billion, three hundred ninety-five million, eight hundred ten thousand, one hundred sixty".