425072804520960 has 2816 divisors, whose sum is σ = 1739257596518400. Its totient is φ = 97840005120000.

The previous prime is 425072804520887. The next prime is 425072804520967. The reversal of 425072804520960 is 69025408270524.

425072804520960 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 7 + 28 + 0 + 4 + 520 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 425072804520897 and 425072804520906.

It is not an unprimeable number, because it can be changed into a prime (425072804520967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 130751399335 + ... + 130751402585.

Almost surely, 2^{425072804520960} is an apocalyptic number.

425072804520960 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 425072804520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869628798259200).

425072804520960 is an abundant number, since it is smaller than the sum of its proper divisors (1314184791997440).

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

425072804520960 is a wasteful number, since it uses less digits than its factorization.

425072804520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 425072804520960 in words is "four hundred twenty-five trillion, seventy-two billion, eight hundred four million, five hundred twenty thousand, nine hundred sixty".