21096190800 has 540 divisors, whose sum is σ = 80757150656. Its totient is φ = 5287680000.

The previous prime is 21096190763. The next prime is 21096190807. The reversal of 21096190800 is 809169012.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21096190807) 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 107 ways as a sum of consecutive naturals, for example, 28090425 + ... + 28091175.

Almost surely, 2^21096190800 is an apocalyptic number.

21096190800 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 21096190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40378575328).

21096190800 is an abundant number, since it is smaller than the sum of its proper divisors (59660959856).

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

21096190800 is a wasteful number, since it uses less digits than its factorization.

21096190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 21096190800 in words is "twenty-one billion, ninety-six million, one hundred ninety thousand, eight hundred".