258197651136 has 224 divisors, whose sum is σ = 799758136320. Its totient is φ = 81523335168.

The previous prime is 258197651099. The next prime is 258197651171. The reversal of 258197651136 is 631156791852.

258197651136 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 97 + 6 + 511 + 36 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4062096 + ... + 4125168.

Almost surely, 2^258197651136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258197651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399879068160).

258197651136 is an abundant number, since it is smaller than the sum of its proper divisors (541560485184).

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

258197651136 is a wasteful number, since it uses less digits than its factorization.

258197651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63220 (or 63204 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 258197651136 in words is "two hundred fifty-eight billion, one hundred ninety-seven million, six hundred fifty-one thousand, one hundred thirty-six".