21132088750080 has 1248 divisors, whose sum is σ = 94474307266560. Its totient is φ = 4239584133120.

The previous prime is 21132088750043. The next prime is 21132088750081. The reversal of 21132088750080 is 8005788023112.

21132088750080 is a `hidden beast` number, since 2 + 1 + 132 + 0 + 8 + 8 + 7 + 500 + 8 + 0 = 666.

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 (21132088750081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411560889 + ... + 411612231.

It is an arithmetic number, because the mean of its divisors is an integer number (75700566720).

Almost surely, 2^{21132088750080} is an apocalyptic number.

21132088750080 is a gapful number since it is divisible by the number (20) 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 21132088750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47237153633280).

21132088750080 is an abundant number, since it is smaller than the sum of its proper divisors (73342218516480).

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

21132088750080 is a wasteful number, since it uses less digits than its factorization.

21132088750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51425 (or 51400 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 21132088750080 in words is "twenty-one trillion, one hundred thirty-two billion, eighty-eight million, seven hundred fifty thousand, eighty".