21960481536 has 864 divisors, whose sum is σ = 81425111040. Its totient is φ = 5768921088.

The previous prime is 21960481511. The next prime is 21960481559. The reversal of 21960481536 is 63518406912.

21960481536 is a `hidden beast` number, since 2 + 1 + 9 + 604 + 8 + 1 + 5 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 21960481491 and 21960481500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467244265 + ... + 467244311.

Almost surely, 2^21960481536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21960481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712555520).

21960481536 is an abundant number, since it is smaller than the sum of its proper divisors (59464629504).

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

21960481536 is an equidigital number, since it uses as much as digits as its factorization.

21960481536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

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

The spelling of 21960481536 in words is "twenty-one billion, nine hundred sixty million, four hundred eighty-one thousand, five hundred thirty-six".