21190475256264 has 96 divisors (see below), whose sum is σ = 59291854502400. Its totient is φ = 6829906533120.

The previous prime is 21190475256263. The next prime is 21190475256271. The reversal of 21190475256264 is 46265257409112.

21190475256264 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 0 + 4 + 7 + 5 + 2 + 5 + 626 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21190475256264.

It is not an unprimeable number, because it can be changed into a prime (21190475256263) 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, 1316244 + ... + 6641795.

It is an arithmetic number, because the mean of its divisors is an integer number (617623484400).

Almost surely, 2^{21190475256264} is an apocalyptic number.

21190475256264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21190475256264 is an abundant number, since it is smaller than the sum of its proper divisors (38101379246136).

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

21190475256264 is a wasteful number, since it uses less digits than its factorization.

21190475256264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959275 (or 7959268 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 21190475256264 in words is "twenty-one trillion, one hundred ninety billion, four hundred seventy-five million, two hundred fifty-six thousand, two hundred sixty-four".