21380319878400 has 6480 divisors, whose sum is σ = 107332482364800. Its totient is φ = 4093425745920.

The previous prime is 21380319878399. The next prime is 21380319878413. The reversal of 21380319878400 is 487891308312.

It is a happy number.

21380319878400 is a `hidden beast` number, since 2 + 1 + 3 + 80 + 3 + 1 + 98 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 577846483182 + ... + 577846483218.

Almost surely, 2^{21380319878400} is an apocalyptic number.

21380319878400 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 21380319878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53666241182400).

21380319878400 is an abundant number, since it is smaller than the sum of its proper divisors (85952162486400).

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

21380319878400 is a wasteful number, since it uses less digits than its factorization.

21380319878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 21380319878400 in words is "twenty-one trillion, three hundred eighty billion, three hundred nineteen million, eight hundred seventy-eight thousand, four hundred".