21578487412800 has 336 divisors, whose sum is σ = 71497526044032. Its totient is φ = 5697304166400.

The previous prime is 21578487412717. The next prime is 21578487412829. The reversal of 21578487412800 is 821478487512.

It is a super-2 number, since 2×21578487412800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524480230 + ... + 524521370.

Almost surely, 2^{21578487412800} is an apocalyptic number.

21578487412800 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 21578487412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748763022016).

21578487412800 is an abundant number, since it is smaller than the sum of its proper divisors (49919038631232).

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

21578487412800 is a wasteful number, since it uses less digits than its factorization.

21578487412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42246 (or 42231 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The spelling of 21578487412800 in words is "twenty-one trillion, five hundred seventy-eight billion, four hundred eighty-seven million, four hundred twelve thousand, eight hundred".