213957756720 has 320 divisors, whose sum is σ = 786978201600. Its totient is φ = 53310458880.

The previous prime is 213957756653. The next prime is 213957756791. The reversal of 213957756720 is 27657759312.

213957756720 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 5 + 77 + 567 + 2 + 0 = 666.

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

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, 1886749 + ... + 1996931.

It is an arithmetic number, because the mean of its divisors is an integer number (2459306880).

Almost surely, 2^213957756720 is an apocalyptic number.

213957756720 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 213957756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393489100800).

213957756720 is an abundant number, since it is smaller than the sum of its proper divisors (573020444880).

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

213957756720 is a wasteful number, since it uses less digits than its factorization.

213957756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110265 (or 110253 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 213957756720 in words is "two hundred thirteen billion, nine hundred fifty-seven million, seven hundred fifty-six thousand, seven hundred twenty".