1258115364000 has 1152 divisors, whose sum is σ = 5192656035840. Its totient is φ = 285432576000.

The previous prime is 1258115363971. The next prime is 1258115364031. The reversal of 1258115364000 is 4635118521.

1258115364000 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 1 + 1 + 5 + 3 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428074531 + ... + 428077469.

It is an arithmetic number, because the mean of its divisors is an integer number (4507513920).

Almost surely, 2^{1258115364000} is an apocalyptic number.

1258115364000 is a gapful number since it is divisible by the number (10) 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 1258115364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596328017920).

1258115364000 is an abundant number, since it is smaller than the sum of its proper divisors (3934540671840).

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

1258115364000 is a wasteful number, since it uses less digits than its factorization.

1258115364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1258115364000 in words is "one trillion, two hundred fifty-eight billion, one hundred fifteen million, three hundred sixty-four thousand".