213258799080 has 480 divisors, whose sum is σ = 801572824800. Its totient is φ = 50702505984.

The previous prime is 213258799057. The next prime is 213258799087. The reversal of 213258799080 is 80997852312.

213258799080 is a `hidden beast` number, since 21 + 32 + 587 + 9 + 9 + 0 + 8 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (213258799087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17784847 + ... + 17796833.

It is an arithmetic number, because the mean of its divisors is an integer number (1669943385).

Almost surely, 2^213258799080 is an apocalyptic number.

213258799080 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 213258799080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400786412400).

213258799080 is an abundant number, since it is smaller than the sum of its proper divisors (588314025720).

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

213258799080 is a wasteful number, since it uses less digits than its factorization.

213258799080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 213258799080 in words is "two hundred thirteen billion, two hundred fifty-eight million, seven hundred ninety-nine thousand, eighty".