21877480800 has 324 divisors, whose sum is σ = 89742092076. Its totient is φ = 5000486400.

The previous prime is 21877480763. The next prime is 21877480831. The reversal of 21877480800 is 808477812.

21877480800 is a `hidden beast` number, since 21 + 8 + 77 + 480 + 80 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 321795 + ... + 383805.

Almost surely, 2^21877480800 is an apocalyptic number.

21877480800 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 21877480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44871046038).

21877480800 is an abundant number, since it is smaller than the sum of its proper divisors (67864611276).

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

21877480800 is a wasteful number, since it uses less digits than its factorization.

21877480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62051 (or 62028 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 21877480800 in words is "twenty-one billion, eight hundred seventy-seven million, four hundred eighty thousand, eight hundred".