21137852880 has 80 divisors (see below), whose sum is σ = 72808167360. Its totient is φ = 5636760192.

The previous prime is 21137852809. The next prime is 21137852881. The reversal of 21137852880 is 8825873112.

21137852880 is a `hidden beast` number, since 2 + 11 + 37 + 8 + 528 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×21137852880³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21137852881) 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 15 ways as a sum of consecutive naturals, for example, 4890862 + ... + 4895181.

It is an arithmetic number, because the mean of its divisors is an integer number (910102092).

Almost surely, 2^21137852880 is an apocalyptic number.

21137852880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21137852880 is an abundant number, since it is smaller than the sum of its proper divisors (51670314480).

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

21137852880 is a wasteful number, since it uses less digits than its factorization.

21137852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786065 (or 9786053 counting only the distinct ones).

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

The spelling of 21137852880 in words is "twenty-one billion, one hundred thirty-seven million, eight hundred fifty-two thousand, eight hundred eighty".