21456273960 has 96 divisors (see below), whose sum is σ = 76072258080. Its totient is φ = 5201520000.

The previous prime is 21456273931. The next prime is 21456273967. The reversal of 21456273960 is 6937265412.

21456273960 is a `hidden beast` number, since 2 + 14 + 5 + 627 + 3 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (21456273967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705166 + ... + 2713085.

It is an arithmetic number, because the mean of its divisors is an integer number (792419355).

Almost surely, 2^21456273960 is an apocalyptic number.

21456273960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21456273960 is an abundant number, since it is smaller than the sum of its proper divisors (54615984120).

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

21456273960 is a wasteful number, since it uses less digits than its factorization.

21456273960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418279 (or 5418272 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21456273960 in words is "twenty-one billion, four hundred fifty-six million, two hundred seventy-three thousand, nine hundred sixty".