21217996800 has 1872 divisors, whose sum is σ = 106476185088. Its totient is φ = 3892838400.

The previous prime is 21217996799. The next prime is 21217996847. The reversal of 21217996800 is 869971212.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922521589 + ... + 922521611.

It is an arithmetic number, because the mean of its divisors is an integer number (56878304).

Almost surely, 2^21217996800 is an apocalyptic number.

21217996800 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 21217996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53238092544).

21217996800 is an abundant number, since it is smaller than the sum of its proper divisors (85258188288).

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

21217996800 is a wasteful number, since it uses less digits than its factorization.

21217996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21217996800 in words is "twenty-one billion, two hundred seventeen million, nine hundred ninety-six thousand, eight hundred".