875713812480 has 576 divisors, whose sum is σ = 3278679768000. Its totient is φ = 214891757568.

The previous prime is 875713812461. The next prime is 875713812503. The reversal of 875713812480 is 84218317578.

875713812480 is a `hidden beast` number, since 8 + 75 + 7 + 13 + 81 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466052181 + ... + 466054059.

It is an arithmetic number, because the mean of its divisors is an integer number (5692152375).

Almost surely, 2^875713812480 is an apocalyptic number.

875713812480 is a gapful number since it is divisible by the number (80) 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 875713812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639339884000).

875713812480 is an abundant number, since it is smaller than the sum of its proper divisors (2402965955520).

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

875713812480 is a wasteful number, since it uses less digits than its factorization.

875713812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 875713812480 in words is "eight hundred seventy-five billion, seven hundred thirteen million, eight hundred twelve thousand, four hundred eighty".