426593417606520 has 512 divisors, whose sum is σ = 1323234091745280. Its totient is φ = 109958360279040.

The previous prime is 426593417606453. The next prime is 426593417606533. The reversal of 426593417606520 is 25606714395624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210455557747 + ... + 210455559773.

It is an arithmetic number, because the mean of its divisors is an integer number (2584441585440).

Almost surely, 2^{426593417606520} is an apocalyptic number.

426593417606520 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 426593417606520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661617045872640).

426593417606520 is an abundant number, since it is smaller than the sum of its proper divisors (896640674138760).

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

426593417606520 is a wasteful number, since it uses less digits than its factorization.

426593417606520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 426593417606520 in words is "four hundred twenty-six trillion, five hundred ninety-three billion, four hundred seventeen million, six hundred six thousand, five hundred twenty".