425138117527872 has 672 divisors, whose sum is σ = 1494906966309120. Its totient is φ = 117211935375360.

The previous prime is 425138117527847. The next prime is 425138117527883. The reversal of 425138117527872 is 278725711831524.

It is a happy number.

425138117527872 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 38 + 1 + 1 + 7 + 527 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5610050622 + ... + 5610126402.

It is an arithmetic number, because the mean of its divisors is an integer number (2224563937960).

Almost surely, 2^{425138117527872} is an apocalyptic number.

425138117527872 is a gapful number since it is divisible by the number (42) 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 425138117527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747453483154560).

425138117527872 is an abundant number, since it is smaller than the sum of its proper divisors (1069768848781248).

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

425138117527872 is a wasteful number, since it uses less digits than its factorization.

425138117527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77621 (or 77599 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 425138117527872 in words is "four hundred twenty-five trillion, one hundred thirty-eight billion, one hundred seventeen million, five hundred twenty-seven thousand, eight hundred seventy-two".