1258796672000 has 528 divisors, whose sum is σ = 3669507878400. Its totient is φ = 429658521600.

The previous prime is 1258796671981. The next prime is 1258796672027. The reversal of 1258796672000 is 2766978521.

It is a super-2 number, since 2×1258796672000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2627967761 + ... + 2627968239.

Almost surely, 2^{1258796672000} is an apocalyptic number.

1258796672000 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 1258796672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834753939200).

1258796672000 is an abundant number, since it is smaller than the sum of its proper divisors (2410711206400).

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

1258796672000 is an equidigital number, since it uses as much as digits as its factorization.

1258796672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 1258796672000 in words is "one trillion, two hundred fifty-eight billion, seven hundred ninety-six million, six hundred seventy-two thousand".