213578253680 has 160 divisors (see below), whose sum is σ = 575459596800. Its totient is φ = 72901555200.

The previous prime is 213578253649. The next prime is 213578253709. The reversal of 213578253680 is 86352875312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763885 + ... + 1881075.

It is an arithmetic number, because the mean of its divisors is an integer number (3596622480).

Almost surely, 2^213578253680 is an apocalyptic number.

213578253680 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 213578253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287729798400).

213578253680 is an abundant number, since it is smaller than the sum of its proper divisors (361881343120).

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

213578253680 is a wasteful number, since it uses less digits than its factorization.

213578253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117343 (or 117337 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 213578253680 in words is "two hundred thirteen billion, five hundred seventy-eight million, two hundred fifty-three thousand, six hundred eighty".