21675012480 has 256 divisors, whose sum is σ = 83745100800. Its totient is φ = 5254502400.

The previous prime is 21675012473. The next prime is 21675012503. The reversal of 21675012480 is 8421057612.

21675012480 is a `hidden beast` number, since 2 + 167 + 5 + 0 + 12 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 133065 + ... + 247095.

It is an arithmetic number, because the mean of its divisors is an integer number (327129300).

Almost surely, 2^21675012480 is an apocalyptic number.

21675012480 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 21675012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41872550400).

21675012480 is an abundant number, since it is smaller than the sum of its proper divisors (62070088320).

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

21675012480 is a wasteful number, since it uses less digits than its factorization.

21675012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114070 (or 114052 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 21675012480 in words is "twenty-one billion, six hundred seventy-five million, twelve thousand, four hundred eighty".