468125608030080 has 2048 divisors, whose sum is σ = 2110237039411200. Its totient is φ = 85010247843840.

The previous prime is 468125608030079. The next prime is 468125608030117. The reversal of 468125608030080 is 80030806521864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77159319207 + ... + 77159325273.

It is an arithmetic number, because the mean of its divisors is an integer number (1030389179400).

Almost surely, 2^{468125608030080} is an apocalyptic number.

468125608030080 is a gapful number since it is divisible by the number (40) 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 468125608030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055118519705600).

468125608030080 is an abundant number, since it is smaller than the sum of its proper divisors (1642111431381120).

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

468125608030080 is a wasteful number, since it uses less digits than its factorization.

468125608030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 468125608030080 in words is "four hundred sixty-eight trillion, one hundred twenty-five billion, six hundred eight million, thirty thousand, eighty".