21152530633140 has 72 divisors (see below), whose sum is σ = 64163448760320. Its totient is φ = 5640606922944.

The previous prime is 21152530633139. The next prime is 21152530633141. The reversal of 21152530633140 is 4133603525112.

21152530633140 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 5 + 3 + 0 + 633 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21152530633139) and next prime (21152530633141).

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

It is a junction number, because it is equal to n+sod(n) for n = 21152530633095 and 21152530633104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152530633141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15286141 + ... + 16612379.

It is an arithmetic number, because the mean of its divisors is an integer number (891159010560).

Almost surely, 2^{21152530633140} is an apocalyptic number.

21152530633140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21152530633140 is an abundant number, since it is smaller than the sum of its proper divisors (43010918127180).

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

21152530633140 is a wasteful number, since it uses less digits than its factorization.

21152530633140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414861 (or 1414856 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 21152530633140 in words is "twenty-one trillion, one hundred fifty-two billion, five hundred thirty million, six hundred thirty-three thousand, one hundred forty".