21864015996900 has 1296 divisors, whose sum is σ = 85097785893120. Its totient is φ = 4283353267200.

The previous prime is 21864015996899. The next prime is 21864015996917. The reversal of 21864015996900 is 969951046812.

It is a super-2 number, since 2×21864015996900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5847555231 + ... + 5847558969.

Almost surely, 2^{21864015996900} is an apocalyptic number.

21864015996900 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 21864015996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42548892946560).

21864015996900 is an abundant number, since it is smaller than the sum of its proper divisors (63233769896220).

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

21864015996900 is a wasteful number, since it uses less digits than its factorization.

21864015996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 21864015996900 in words is "twenty-one trillion, eight hundred sixty-four billion, fifteen million, nine hundred ninety-six thousand, nine hundred".