213383112762960 has 320 divisors, whose sum is σ = 867080587100160. Its totient is φ = 47199951106560.

The previous prime is 213383112762959. The next prime is 213383112763049. The reversal of 213383112762960 is 69267211383312.

213383112762960 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 8 + 3 + 1 + 1 + 2 + 7 + 629 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213383112762897 and 213383112762906.

It is a congruent number.

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, 227154502 + ... + 228091941.

It is an arithmetic number, because the mean of its divisors is an integer number (2709626834688).

Almost surely, 2^{213383112762960} is an apocalyptic number.

213383112762960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213383112762960 is an abundant number, since it is smaller than the sum of its proper divisors (653697474337200).

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

213383112762960 is a wasteful number, since it uses less digits than its factorization.

213383112762960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455246503 (or 455246491 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 213383112762960 in words is "two hundred thirteen trillion, three hundred eighty-three billion, one hundred twelve million, seven hundred sixty-two thousand, nine hundred sixty".