213935053108392 has 1536 divisors, whose sum is σ = 787321866240000. Its totient is φ = 53608741401600.

The previous prime is 213935053108333. The next prime is 213935053108433. The reversal of 213935053108392 is 293801350539312.

213935053108392 is a `hidden beast` number, since 2 + 1 + 3 + 93 + 505 + 3 + 10 + 8 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203941899484 + ... + 203941900532.

It is an arithmetic number, because the mean of its divisors is an integer number (512579340000).

Almost surely, 2^{213935053108392} is an apocalyptic number.

213935053108392 is a gapful number since it is divisible by the number (22) 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 213935053108392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393660933120000).

213935053108392 is an abundant number, since it is smaller than the sum of its proper divisors (573386813131608).

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

213935053108392 is a wasteful number, since it uses less digits than its factorization.

213935053108392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 213935053108392 in words is "two hundred thirteen trillion, nine hundred thirty-five billion, fifty-three million, one hundred eight thousand, three hundred ninety-two".