425970689507328 has 1152 divisors, whose sum is σ = 1412741961566208. Its totient is φ = 111409505501184.

The previous prime is 425970689507299. The next prime is 425970689507333. The reversal of 425970689507328 is 823705986079524.

It is a self number, because there is not a number n which added to its sum of digits gives 425970689507328.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260214226126 + ... + 260214227762.

It is an arithmetic number, because the mean of its divisors is an integer number (1226338508304).

Almost surely, 2^{425970689507328} is an apocalyptic number.

425970689507328 is a gapful number since it is divisible by the number (48) 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 425970689507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706370980783104).

425970689507328 is an abundant number, since it is smaller than the sum of its proper divisors (986771272058880).

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

425970689507328 is an equidigital number, since it uses as much as digits as its factorization.

425970689507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 75.

The spelling of 425970689507328 in words is "four hundred twenty-five trillion, nine hundred seventy billion, six hundred eighty-nine million, five hundred seven thousand, three hundred twenty-eight".