425261187072 has 300 divisors, whose sum is σ = 1280315476440. Its totient is φ = 140658868224.

The previous prime is 425261187059. The next prime is 425261187073. The reversal of 425261187072 is 270781162524.

425261187072 is a `hidden beast` number, since 4 + 2 + 526 + 118 + 7 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (425261187073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181812079 + ... + 181814417.

Almost surely, 2^425261187072 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 425261187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640157738220).

425261187072 is an abundant number, since it is smaller than the sum of its proper divisors (855054289368).

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

425261187072 is an equidigital number, since it uses as much as digits as its factorization.

425261187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 425261187072 in words is "four hundred twenty-five billion, two hundred sixty-one million, one hundred eighty-seven thousand, seventy-two".