21150990600 has 96 divisors (see below), whose sum is σ = 66040044000. Its totient is φ = 5599664640.

The previous prime is 21150990517. The next prime is 21150990607. The reversal of 21150990600 is 609905112.

It is a super-2 number, since 2×21150990600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21150990607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43405 + ... + 210204.

It is an arithmetic number, because the mean of its divisors is an integer number (687917125).

Almost surely, 2^21150990600 is an apocalyptic number.

21150990600 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 21150990600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020022000).

21150990600 is an abundant number, since it is smaller than the sum of its proper divisors (44889053400).

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

21150990600 is a wasteful number, since it uses less digits than its factorization.

21150990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253767 (or 253758 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 21150990600 in words is "twenty-one billion, one hundred fifty million, nine hundred ninety thousand, six hundred".