425585268720 has 400 divisors, whose sum is σ = 1521430086528. Its totient is φ = 110177832960.

The previous prime is 425585268617. The next prime is 425585268721. The reversal of 425585268720 is 27862585524.

425585268720 is a `hidden beast` number, since 4 + 2 + 558 + 5 + 2 + 6 + 87 + 2 + 0 = 666.

It is a super-2 number, since 2×425585268720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425585268721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124913257 + ... + 124916663.

Almost surely, 2^425585268720 is an apocalyptic number.

425585268720 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 425585268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760715043264).

425585268720 is an abundant number, since it is smaller than the sum of its proper divisors (1095844817808).

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

425585268720 is a wasteful number, since it uses less digits than its factorization.

425585268720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 425585268720 in words is "four hundred twenty-five billion, five hundred eighty-five million, two hundred sixty-eight thousand, seven hundred twenty".