425569608495360 has 2304 divisors, whose sum is σ = 1933053422469120. Its totient is φ = 86369627013120.

The previous prime is 425569608495329. The next prime is 425569608495379. The reversal of 425569608495360 is 63594806965524.

425569608495360 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 6 + 9 + 6 + 0 + 84 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×425569608495360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6905091745 + ... + 6905153375.

It is an arithmetic number, because the mean of its divisors is an integer number (838998881280).

Almost surely, 2^{425569608495360} is an apocalyptic number.

425569608495360 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 425569608495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966526711234560).

425569608495360 is an abundant number, since it is smaller than the sum of its proper divisors (1507483813973760).

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

425569608495360 is a wasteful number, since it uses less digits than its factorization.

425569608495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61781 (or 61761 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 72.

The spelling of 425569608495360 in words is "four hundred twenty-five trillion, five hundred sixty-nine billion, six hundred eight million, four hundred ninety-five thousand, three hundred sixty".