425025362520 has 768 divisors, whose sum is σ = 1591852953600. Its totient is φ = 97432657920.

The previous prime is 425025362513. The next prime is 425025362561. The reversal of 425025362520 is 25263520524.

425025362520 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 2 + 5 + 3 + 625 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 844980589 + ... + 844981091.

It is an arithmetic number, because the mean of its divisors is an integer number (2072725200).

Almost surely, 2^425025362520 is an apocalyptic number.

425025362520 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 425025362520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795926476800).

425025362520 is an abundant number, since it is smaller than the sum of its proper divisors (1166827591080).

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

425025362520 is a wasteful number, since it uses less digits than its factorization.

425025362520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 425025362520 in words is "four hundred twenty-five billion, twenty-five million, three hundred sixty-two thousand, five hundred twenty".