258217211891180 has 48 divisors (see below), whose sum is σ = 578021207232000. Its totient is φ = 96612116043456.

The previous prime is 258217211891159. The next prime is 258217211891189. The reversal of 258217211891180 is 81198112712852.

258217211891180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258217211891180² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258217211891189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4300723010 + ... + 4300783049.

It is an arithmetic number, because the mean of its divisors is an integer number (12042108484000).

Almost surely, 2^{258217211891180} is an apocalyptic number.

258217211891180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258217211891180 is an abundant number, since it is smaller than the sum of its proper divisors (319803995340820).

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

258217211891180 is a wasteful number, since it uses less digits than its factorization.

258217211891180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601506166 (or 8601506164 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 56.

The spelling of 258217211891180 in words is "two hundred fifty-eight trillion, two hundred seventeen billion, two hundred eleven million, eight hundred ninety-one thousand, one hundred eighty".