875292411840 has 896 divisors, whose sum is σ = 3602308792320. Its totient is φ = 174724300800.

The previous prime is 875292411797. The next prime is 875292411871. The reversal of 875292411840 is 48114292578.

It is a super-2 number, since 2×875292411840² (a number of 25 digits) contains 22 as substring.

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, 478039725 + ... + 478041555.

It is an arithmetic number, because the mean of its divisors is an integer number (4020433920).

Almost surely, 2^875292411840 is an apocalyptic number.

875292411840 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 875292411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801154396160).

875292411840 is an abundant number, since it is smaller than the sum of its proper divisors (2727016380480).

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

875292411840 is a wasteful number, since it uses less digits than its factorization.

875292411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 875292411840 in words is "eight hundred seventy-five billion, two hundred ninety-two million, four hundred eleven thousand, eight hundred forty".