875190288198016 has 512 divisors, whose sum is σ = 2180446329600000. Its totient is φ = 341409766440960.

The previous prime is 875190288198013. The next prime is 875190288198043. The reversal of 875190288198016 is 610891882091578.

It is a super-2 number, since 2×875190288198016² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 875190288198016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875190288198013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284244976765 + ... + 284244979843.

It is an arithmetic number, because the mean of its divisors is an integer number (4258684237500).

Almost surely, 2^{875190288198016} 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 875190288198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090223164800000).

875190288198016 is an abundant number, since it is smaller than the sum of its proper divisors (1305256041401984).

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

875190288198016 is a wasteful number, since it uses less digits than its factorization.

875190288198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 73.

The spelling of 875190288198016 in words is "eight hundred seventy-five trillion, one hundred ninety billion, two hundred eighty-eight million, one hundred ninety-eight thousand, sixteen".