21160888519680 has 2816 divisors, whose sum is σ = 98720711577600. Its totient is φ = 4225860108288.

The previous prime is 21160888519597. The next prime is 21160888519717. The reversal of 21160888519680 is 8691588806112.

21160888519680 is a `hidden beast` number, since 2 + 1 + 1 + 608 + 8 + 8 + 5 + 19 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19360373214 + ... + 19360374306.

Almost surely, 2^{21160888519680} is an apocalyptic number.

21160888519680 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 21160888519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49360355788800).

21160888519680 is an abundant number, since it is smaller than the sum of its proper divisors (77559823057920).

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

21160888519680 is a wasteful number, since it uses less digits than its factorization.

21160888519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 21160888519680 in words is "twenty-one trillion, one hundred sixty billion, eight hundred eighty-eight million, five hundred nineteen thousand, six hundred eighty".