258997094400 has 1152 divisors, whose sum is σ = 1010815303680. Its totient is φ = 57802752000.

The previous prime is 258997094393. The next prime is 258997094413. The reversal of 258997094400 is 4490799852.

It is a super-2 number, since 2×258997094400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2039347137 + ... + 2039347263.

It is an arithmetic number, because the mean of its divisors is an integer number (877443840).

Almost surely, 2^258997094400 is an apocalyptic number.

258997094400 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 258997094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505407651840).

258997094400 is an abundant number, since it is smaller than the sum of its proper divisors (751818209280).

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

258997094400 is a wasteful number, since it uses less digits than its factorization.

258997094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 258997094400 in words is "two hundred fifty-eight billion, nine hundred ninety-seven million, ninety-four thousand, four hundred".