21857231797632 has 5120 divisors, whose sum is σ = 96090823065600. Its totient is φ = 4759359897600.

The previous prime is 21857231797627. The next prime is 21857231797633. The reversal of 21857231797632 is 23679713275812.

21857231797632 is a `hidden beast` number, since 2 + 18 + 572 + 3 + 17 + 9 + 7 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 21857231797632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21857231797633) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 465047485033 + ... + 465047485079.

It is an arithmetic number, because the mean of its divisors is an integer number (18767738880).

Almost surely, 2^{21857231797632} is an apocalyptic number.

21857231797632 is a gapful number since it is divisible by the number (22) 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 21857231797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48045411532800).

21857231797632 is an abundant number, since it is smaller than the sum of its proper divisors (74233591267968).

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

21857231797632 is a wasteful number, since it uses less digits than its factorization.

21857231797632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 21857231797632 in words is "twenty-one trillion, eight hundred fifty-seven billion, two hundred thirty-one million, seven hundred ninety-seven thousand, six hundred thirty-two".