21905507861160 has 384 divisors, whose sum is σ = 86271075388800. Its totient is φ = 4394835056640.

The previous prime is 21905507861129. The next prime is 21905507861177. The reversal of 21905507861160 is 6116870550912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3963507 + ... + 7714946.

It is an arithmetic number, because the mean of its divisors is an integer number (224664258825).

Almost surely, 2^{21905507861160} is an apocalyptic number.

21905507861160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21905507861160 is an abundant number, since it is smaller than the sum of its proper divisors (64365567527640).

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

21905507861160 is a wasteful number, since it uses less digits than its factorization.

21905507861160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678521 (or 11678510 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 21905507861160 in words is "twenty-one trillion, nine hundred five billion, five hundred seven million, eight hundred sixty-one thousand, one hundred sixty".