535471394304 has 1280 divisors, whose sum is σ = 1987566501888. Its totient is φ = 124895232000.

The previous prime is 535471394299. The next prime is 535471394363. The reversal of 535471394304 is 403493174535.

It is a super-2 number, since 2×535471394304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7541850589 + ... + 7541850659.

Almost surely, 2^535471394304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535471394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993783250944).

535471394304 is an abundant number, since it is smaller than the sum of its proper divisors (1452095107584).

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

535471394304 is a wasteful number, since it uses less digits than its factorization.

535471394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 535471394304 in words is "five hundred thirty-five billion, four hundred seventy-one million, three hundred ninety-four thousand, three hundred four".