213979296960 has 1008 divisors, whose sum is σ = 888397499808. Its totient is φ = 46603468800.

The previous prime is 213979296943. The next prime is 213979296967. The reversal of 213979296960 is 69692979312.

213979296960 is a `hidden beast` number, since 213 + 9 + 79 + 296 + 9 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (213979296967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 761492020 + ... + 761492300.

It is an arithmetic number, because the mean of its divisors is an integer number (881346726).

Almost surely, 2^213979296960 is an apocalyptic number.

213979296960 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 213979296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444198749904).

213979296960 is an abundant number, since it is smaller than the sum of its proper divisors (674418202848).

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

213979296960 is a wasteful number, since it uses less digits than its factorization.

213979296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 213979296960 in words is "two hundred thirteen billion, nine hundred seventy-nine million, two hundred ninety-six thousand, nine hundred sixty".