21567047040 has 768 divisors, whose sum is σ = 96342704640. Its totient is φ = 4478976000.

The previous prime is 21567047039. The next prime is 21567047071. The reversal of 21567047040 is 4074076512.

21567047040 is a `hidden beast` number, since 21 + 567 + 0 + 4 + 70 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21567046986 and 21567047004.

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, 11974140 + ... + 11975940.

It is an arithmetic number, because the mean of its divisors is an integer number (125446230).

Almost surely, 2^21567047040 is an apocalyptic number.

21567047040 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 21567047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48171352320).

21567047040 is an abundant number, since it is smaller than the sum of its proper divisors (74775657600).

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

21567047040 is a wasteful number, since it uses less digits than its factorization.

21567047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21567047040 in words is "twenty-one billion, five hundred sixty-seven million, forty-seven thousand, forty".