213567040512 has 528 divisors, whose sum is σ = 730406806272. Its totient is φ = 58830520320.

The previous prime is 213567040429. The next prime is 213567040529. The reversal of 213567040512 is 215040765312.

213567040512 is a `hidden beast` number, since 2 + 1 + 3 + 567 + 0 + 40 + 51 + 2 = 666.

It is a super-2 number, since 2×213567040512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312689323 + ... + 312690005.

It is an arithmetic number, because the mean of its divisors is an integer number (1383346224).

Almost surely, 2^213567040512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213567040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365203403136).

213567040512 is an abundant number, since it is smaller than the sum of its proper divisors (516839765760).

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

213567040512 is a wasteful number, since it uses less digits than its factorization.

213567040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 213567040512 in words is "two hundred thirteen billion, five hundred sixty-seven million, forty thousand, five hundred twelve".