875802120356352 has 640 divisors, whose sum is σ = 2813799016765440. Its totient is φ = 236472768921600.

The previous prime is 875802120356231. The next prime is 875802120356357. The reversal of 875802120356352 is 253653021208578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 875802120356292 and 875802120356301.

It is not an unprimeable number, because it can be changed into a prime (875802120356357) 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, 230292430483 + ... + 230292434285.

It is an arithmetic number, because the mean of its divisors is an integer number (4396560963696).

Almost surely, 2^{875802120356352} 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 875802120356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406899508382720).

875802120356352 is an abundant number, since it is smaller than the sum of its proper divisors (1937996896409088).

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

875802120356352 is a wasteful number, since it uses less digits than its factorization.

875802120356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 875802120356352 in words is "eight hundred seventy-five trillion, eight hundred two billion, one hundred twenty million, three hundred fifty-six thousand, three hundred fifty-two".