213657220800 has 336 divisors, whose sum is σ = 779629936800. Its totient is φ = 56918937600.

The previous prime is 213657220769. The next prime is 213657220841. The reversal of 213657220800 is 8022756312.

213657220800 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 572 + 2 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×213657220800³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61731070 + ... + 61734530.

Almost surely, 2^213657220800 is an apocalyptic number.

213657220800 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 213657220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389814968400).

213657220800 is an abundant number, since it is smaller than the sum of its proper divisors (565972716000).

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

213657220800 is a wasteful number, since it uses less digits than its factorization.

213657220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 213657220800 in words is "two hundred thirteen billion, six hundred fifty-seven million, two hundred twenty thousand, eight hundred".