426885275520 has 1536 divisors, whose sum is σ = 1848778560000. Its totient is φ = 92047933440.

The previous prime is 426885275507. The next prime is 426885275561. The reversal of 426885275520 is 25572588624.

426885275520 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 85 + 2 + 7 + 552 + 0 = 666.

It is a super-3 number, since 3×426885275520³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1043729076 + ... + 1043729484.

It is an arithmetic number, because the mean of its divisors is an integer number (1203631875).

Almost surely, 2^426885275520 is an apocalyptic number.

426885275520 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 426885275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924389280000).

426885275520 is an abundant number, since it is smaller than the sum of its proper divisors (1421893284480).

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

426885275520 is a wasteful number, since it uses less digits than its factorization.

426885275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 466 counting only the distinct ones).

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

The spelling of 426885275520 in words is "four hundred twenty-six billion, eight hundred eighty-five million, two hundred seventy-five thousand, five hundred twenty".