213792566400 has 1728 divisors, whose sum is σ = 955211362560. Its totient is φ = 47029248000.

The previous prime is 213792566387. The next prime is 213792566443. The reversal of 213792566400 is 4665297312.

213792566400 is a `hidden beast` number, since 2 + 13 + 79 + 2 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×213792566400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1181174310 + ... + 1181174490.

Almost surely, 2^213792566400 is an apocalyptic number.

213792566400 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 213792566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477605681280).

213792566400 is an abundant number, since it is smaller than the sum of its proper divisors (741418796160).

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

213792566400 is a wasteful number, since it uses less digits than its factorization.

213792566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 213792566400 in words is "two hundred thirteen billion, seven hundred ninety-two million, five hundred sixty-six thousand, four hundred".