213735597984 has 72 divisors (see below), whose sum is σ = 616882462560. Its totient is φ = 70181831808.

The previous prime is 213735597983. The next prime is 213735598007. The reversal of 213735597984 is 489795537312.

213735597984 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 3 + 559 + 79 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (213735597983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5519044 + ... + 5557635.

It is an arithmetic number, because the mean of its divisors is an integer number (8567811980).

Almost surely, 2^213735597984 is an apocalyptic number.

213735597984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213735597984 is an abundant number, since it is smaller than the sum of its proper divisors (403146864576).

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

213735597984 is a wasteful number, since it uses less digits than its factorization.

213735597984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076762 (or 11076751 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 213735597984 in words is "two hundred thirteen billion, seven hundred thirty-five million, five hundred ninety-seven thousand, nine hundred eighty-four".