213782758920 has 96 divisors (see below), whose sum is σ = 720527109120. Its totient is φ = 57008733120.

The previous prime is 213782758897. The next prime is 213782758957. The reversal of 213782758920 is 29857287312.

213782758920 is a `hidden beast` number, since 2 + 1 + 37 + 8 + 2 + 7 + 589 + 20 = 666.

It is a super-2 number, since 2×213782758920² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 10987336 + ... + 11006775.

It is an arithmetic number, because the mean of its divisors is an integer number (7505490720).

Almost surely, 2^213782758920 is an apocalyptic number.

213782758920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213782758920 is an abundant number, since it is smaller than the sum of its proper divisors (506744350200).

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

213782758920 is a wasteful number, since it uses less digits than its factorization.

213782758920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21994137 (or 21994121 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 213782758920 in words is "two hundred thirteen billion, seven hundred eighty-two million, seven hundred fifty-eight thousand, nine hundred twenty".