21182990400 has 1176 divisors, whose sum is σ = 92534744064. Its totient is φ = 4702924800.

The previous prime is 21182990399. The next prime is 21182990431. The reversal of 21182990400 is 409928112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 166795137 + ... + 166795263.

Almost surely, 2^21182990400 is an apocalyptic number.

21182990400 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 21182990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267372032).

21182990400 is an abundant number, since it is smaller than the sum of its proper divisors (71351753664).

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

21182990400 is a wasteful number, since it uses less digits than its factorization.

21182990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 21182990400 in words is "twenty-one billion, one hundred eighty-two million, nine hundred ninety thousand, four hundred".