213538057920 has 336 divisors, whose sum is σ = 830932397568. Its totient is φ = 51766594560.

The previous prime is 213538057891. The next prime is 213538057939. The reversal of 213538057920 is 29750835312.

213538057920 is a `hidden beast` number, since 2 + 1 + 3 + 53 + 8 + 0 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 730537 + ... + 980183.

It is an arithmetic number, because the mean of its divisors is an integer number (2473013088).

Almost surely, 2^213538057920 is an apocalyptic number.

213538057920 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 213538057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415466198784).

213538057920 is an abundant number, since it is smaller than the sum of its proper divisors (617394339648).

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

213538057920 is a wasteful number, since it uses less digits than its factorization.

213538057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249690 (or 249668 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 213538057920 in words is "two hundred thirteen billion, five hundred thirty-eight million, fifty-seven thousand, nine hundred twenty".