21907791360 has 1280 divisors, whose sum is σ = 99213649920. Its totient is φ = 4514807808.

The previous prime is 21907791337. The next prime is 21907791397. The reversal of 21907791360 is 6319770912.

21907791360 is a `hidden beast` number, since 219 + 0 + 7 + 79 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509483499 + ... + 509483541.

It is an arithmetic number, because the mean of its divisors is an integer number (77510664).

Almost surely, 2^21907791360 is an apocalyptic number.

21907791360 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 21907791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606824960).

21907791360 is an abundant number, since it is smaller than the sum of its proper divisors (77305858560).

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

21907791360 is an frugal number, since it uses more digits than its factorization.

21907791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 21907791360 in words is "twenty-one billion, nine hundred seven million, seven hundred ninety-one thousand, three hundred sixty".