213199516474560 has 2688 divisors, whose sum is σ = 964974366720000. Its totient is φ = 41914416660480.

The previous prime is 213199516474543. The next prime is 213199516474597. The reversal of 213199516474560 is 65474615991312.

213199516474560 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 9 + 9 + 5 + 1 + 64 + 7 + 4 + 560 = 666.

It is a super-2 number, since 2×213199516474560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 70619248731 + ... + 70619251749.

It is an arithmetic number, because the mean of its divisors is an integer number (358993440000).

Almost surely, 2^{213199516474560} is an apocalyptic number.

213199516474560 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 213199516474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482487183360000).

213199516474560 is an abundant number, since it is smaller than the sum of its proper divisors (751774850245440).

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

213199516474560 is a wasteful number, since it uses less digits than its factorization.

213199516474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 213199516474560 in words is "two hundred thirteen trillion, one hundred ninety-nine billion, five hundred sixteen million, four hundred seventy-four thousand, five hundred sixty".