258371157780200 has 96 divisors (see below), whose sum is σ = 603392483861760. Its totient is φ = 102888052243200.

The previous prime is 258371157780193. The next prime is 258371157780223. The reversal of 258371157780200 is 2087751173852.

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, 68793362 + ... + 72451838.

It is an arithmetic number, because the mean of its divisors is an integer number (6285338373560).

Almost surely, 2^{258371157780200} is an apocalyptic number.

258371157780200 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 258371157780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301696241930880).

258371157780200 is an abundant number, since it is smaller than the sum of its proper divisors (345021326081560).

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

258371157780200 is a wasteful number, since it uses less digits than its factorization.

258371157780200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660067 (or 3660058 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 56.

The spelling of 258371157780200 in words is "two hundred fifty-eight trillion, three hundred seventy-one billion, one hundred fifty-seven million, seven hundred eighty thousand, two hundred".