21025686960 has 120 divisors (see below), whose sum is σ = 71079257184. Its totient is φ = 5569689600.

The previous prime is 21025686911. The next prime is 21025686967. The reversal of 21025686960 is 6968652012.

21025686960 is a `hidden beast` number, since 21 + 0 + 2 + 568 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (21025686967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12024 + ... + 205416.

Almost surely, 2^21025686960 is an apocalyptic number.

21025686960 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 21025686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35539628592).

21025686960 is an abundant number, since it is smaller than the sum of its proper divisors (50053570224).

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

21025686960 is a wasteful number, since it uses less digits than its factorization.

21025686960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193563 (or 193554 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21025686960 in words is "twenty-one billion, twenty-five million, six hundred eighty-six thousand, nine hundred sixty".