21037888800 has 108 divisors (see below), whose sum is σ = 74184880770. Its totient is φ = 5610101760.

The previous prime is 21037888777. The next prime is 21037888811. The reversal of 21037888800 is 888873012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14721454224 + 6316434576 = 121332^2 + 79476^2 .

It is a super-2 number, since 2×21037888800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1453765 + ... + 1468164.

Almost surely, 2^21037888800 is an apocalyptic number.

21037888800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21037888800 is an abundant number, since it is smaller than the sum of its proper divisors (53146991970).

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

21037888800 is a wasteful number, since it uses less digits than its factorization.

21037888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921955 (or 2921939 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21037888800 in words is "twenty-one billion, thirty-seven million, eight hundred eighty-eight thousand, eight hundred".