258079145221296 has 2560 divisors, whose sum is σ = 1005810823987200. Its totient is φ = 61569079050240.

The previous prime is 258079145221267. The next prime is 258079145221363. The reversal of 258079145221296 is 692122541970852.

258079145221296 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 7 + 9 + 1 + 4 + 522 + 12 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 249834602796 + ... + 249834603828.

It is an arithmetic number, because the mean of its divisors is an integer number (392894853120).

Almost surely, 2^{258079145221296} 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 258079145221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502905411993600).

258079145221296 is an abundant number, since it is smaller than the sum of its proper divisors (747731678765904).

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

258079145221296 is a wasteful number, since it uses less digits than its factorization.

258079145221296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 258079145221296 in words is "two hundred fifty-eight trillion, seventy-nine billion, one hundred forty-five million, two hundred twenty-one thousand, two hundred ninety-six".