2578955464512 has 280 divisors, whose sum is σ = 8885042041920. Its totient is φ = 724354928640.

The previous prime is 2578955464483. The next prime is 2578955464543. The reversal of 2578955464512 is 2154645598752.

2578955464512 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 9 + 5 + 54 + 64 + 512 = 666.

2578955464512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2578955464512² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2578955464512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1538712 + ... + 2743272.

Almost surely, 2^{2578955464512} 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 2578955464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442521020960).

2578955464512 is an abundant number, since it is smaller than the sum of its proper divisors (6306086577408).

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

2578955464512 is a wasteful number, since it uses less digits than its factorization.

2578955464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204651 (or 1204632 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 2578955464512 in words is "two trillion, five hundred seventy-eight billion, nine hundred fifty-five million, four hundred sixty-four thousand, five hundred twelve".