21895695360 has 1408 divisors, whose sum is σ = 103569684480. Its totient is φ = 4282122240.

The previous prime is 21895695337. The next prime is 21895695389. The reversal of 21895695360 is 6359659812.

It is a happy number.

21895695360 is a `hidden beast` number, since 2 + 18 + 9 + 569 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 21895695297 and 21895695306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1287982072 + ... + 1287982088.

Almost surely, 2^21895695360 is an apocalyptic number.

21895695360 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 21895695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51784842240).

21895695360 is an abundant number, since it is smaller than the sum of its proper divisors (81673989120).

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

21895695360 is a wasteful number, since it uses less digits than its factorization.

21895695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 21895695360 in words is "twenty-one billion, eight hundred ninety-five million, six hundred ninety-five thousand, three hundred sixty".