213585099264 has 160 divisors (see below), whose sum is σ = 639334080000. Its totient is φ = 70394683392.

The previous prime is 213585099257. The next prime is 213585099269. The reversal of 213585099264 is 462990585312.

213585099264 is a `hidden beast` number, since 21 + 3 + 58 + 509 + 9 + 2 + 64 = 666.

It is a super-2 number, since 2×213585099264² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213585099264.

It is not an unprimeable number, because it can be changed into a prime (213585099269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143537 + ... + 1317135.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838000).

Almost surely, 2^213585099264 is an apocalyptic number.

213585099264 is a gapful number since it is divisible by the number (24) 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 213585099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040000).

213585099264 is an abundant number, since it is smaller than the sum of its proper divisors (425748980736).

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

213585099264 is an equidigital number, since it uses as much as digits as its factorization.

213585099264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173715 (or 173693 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 213585099264 in words is "two hundred thirteen billion, five hundred eighty-five million, ninety-nine thousand, two hundred sixty-four".