21788292960 has 576 divisors, whose sum is σ = 89568460800. Its totient is φ = 4816143360.

The previous prime is 21788292949. The next prime is 21788292961. The reversal of 21788292960 is 6929288712.

21788292960 is a `hidden beast` number, since 217 + 88 + 292 + 9 + 60 = 666.

It is a super-2 number, since 2×21788292960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21788292897 and 21788292906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21788292961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15310809 + ... + 15312231.

It is an arithmetic number, because the mean of its divisors is an integer number (155500800).

Almost surely, 2^21788292960 is an apocalyptic number.

21788292960 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 21788292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44784230400).

21788292960 is an abundant number, since it is smaller than the sum of its proper divisors (67780167840).

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

21788292960 is a wasteful number, since it uses less digits than its factorization.

21788292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21788292960 in words is "twenty-one billion, seven hundred eighty-eight million, two hundred ninety-two thousand, nine hundred sixty".