21253322859408 has 100 divisors (see below), whose sum is σ = 61561457387100. Its totient is φ = 7078892679936.

The previous prime is 21253322859397. The next prime is 21253322859437. The reversal of 21253322859408 is 80495822335212.

It is a happy number.

21253322859408 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 3 + 3 + 228 + 5 + 9 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4736316510864 + 16517006348544 = 2176308^2 + 4064112^2 .

It is a super-2 number, since 2×21253322859408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 4765983 + ... + 8075966.

It is an arithmetic number, because the mean of its divisors is an integer number (615614573871).

Almost surely, 2^{21253322859408} is an apocalyptic number.

It is an amenable number.

21253322859408 is an abundant number, since it is smaller than the sum of its proper divisors (40308134527692).

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

21253322859408 is a wasteful number, since it uses less digits than its factorization.

21253322859408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843246 (or 12843231 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 21253322859408 in words is "twenty-one trillion, two hundred fifty-three billion, three hundred twenty-two million, eight hundred fifty-nine thousand, four hundred eight".