21088054568160 has 192 divisors, whose sum is σ = 73835377459200. Its totient is φ = 5621409870336.

The previous prime is 21088054568143. The next prime is 21088054568177. The reversal of 21088054568160 is 6186545088012.

21088054568160 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 80 + 545 + 6 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21088054568143) and next prime (21088054568177).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21088054568097 and 21088054568106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10848417 + ... + 12643743.

It is an arithmetic number, because the mean of its divisors is an integer number (384559257600).

Almost surely, 2^{21088054568160} is an apocalyptic number.

21088054568160 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 21088054568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36917688729600).

21088054568160 is an abundant number, since it is smaller than the sum of its proper divisors (52747322891040).

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

21088054568160 is a wasteful number, since it uses less digits than its factorization.

21088054568160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798070 (or 1798056 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 21088054568160 in words is "twenty-one trillion, eighty-eight billion, fifty-four million, five hundred sixty-eight thousand, one hundred sixty".