213975892795392 has 1680 divisors, whose sum is σ = 807378172286400. Its totient is φ = 56423058112512.

The previous prime is 213975892795391. The next prime is 213975892795409. The reversal of 213975892795392 is 293597298579312.

213975892795392 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 7 + 5 + 8 + 9 + 2 + 79 + 539 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (213975892795391) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38464116003 + ... + 38464121565.

Almost surely, 2^{213975892795392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213975892795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403689086143200).

213975892795392 is an abundant number, since it is smaller than the sum of its proper divisors (593402279491008).

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

213975892795392 is an frugal number, since it uses more digits than its factorization.

213975892795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5588 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 81.

The spelling of 213975892795392 in words is "two hundred thirteen trillion, nine hundred seventy-five billion, eight hundred ninety-two million, seven hundred ninety-five thousand, three hundred ninety-two".