215563468800 has 384 divisors, whose sum is σ = 717718348800. Its totient is φ = 57087098880.

The previous prime is 215563468759. The next prime is 215563468829. The reversal of 215563468800 is 8864365512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 215563468800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587366217 + ... + 587366583.

It is an arithmetic number, because the mean of its divisors is an integer number (1869058200).

Almost surely, 2^215563468800 is an apocalyptic number.

215563468800 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 215563468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358859174400).

215563468800 is an abundant number, since it is smaller than the sum of its proper divisors (502154880000).

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

215563468800 is an equidigital number, since it uses as much as digits as its factorization.

215563468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 215563468800 in words is "two hundred fifteen billion, five hundred sixty-three million, four hundred sixty-eight thousand, eight hundred".