21183135264 has 288 divisors, whose sum is σ = 65968680960. Its totient is φ = 6422976000.

The previous prime is 21183135247. The next prime is 21183135271. The reversal of 21183135264 is 46253138112.

21183135264 is a `hidden beast` number, since 2 + 118 + 3 + 13 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21183135264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 25614019 + ... + 25614845.

It is an arithmetic number, because the mean of its divisors is an integer number (229057920).

Almost surely, 2^21183135264 is an apocalyptic number.

21183135264 is a gapful number since it is divisible by the number (24) 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 21183135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984340480).

21183135264 is an abundant number, since it is smaller than the sum of its proper divisors (44785545696).

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

21183135264 is a wasteful number, since it uses less digits than its factorization.

21183135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 21183135264 in words is "twenty-one billion, one hundred eighty-three million, one hundred thirty-five thousand, two hundred sixty-four".