213678748920 has 256 divisors, whose sum is σ = 805756170240. Its totient is φ = 44124530688.

The previous prime is 213678748903. The next prime is 213678748957. The reversal of 213678748920 is 29847876312.

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, 305074 + ... + 721406.

It is an arithmetic number, because the mean of its divisors is an integer number (3147485040).

Almost surely, 2^213678748920 is an apocalyptic number.

213678748920 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 213678748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402878085120).

213678748920 is an abundant number, since it is smaller than the sum of its proper divisors (592077421320).

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

213678748920 is a wasteful number, since it uses less digits than its factorization.

213678748920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416414 (or 416410 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 213678748920 in words is "two hundred thirteen billion, six hundred seventy-eight million, seven hundred forty-eight thousand, nine hundred twenty".