213415464960 has 832 divisors, whose sum is σ = 816971650560. Its totient is φ = 52659486720.

The previous prime is 213415464827. The next prime is 213415464973. The reversal of 213415464960 is 69464514312.

213415464960 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 546 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686223205 + ... + 686223515.

It is an arithmetic number, because the mean of its divisors is an integer number (981937080).

Almost surely, 2^213415464960 is an apocalyptic number.

213415464960 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 213415464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408485825280).

213415464960 is an abundant number, since it is smaller than the sum of its proper divisors (603556185600).

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

213415464960 is a wasteful number, since it uses less digits than its factorization.

213415464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 213415464960 in words is "two hundred thirteen billion, four hundred fifteen million, four hundred sixty-four thousand, nine hundred sixty".