879365010150 has 288 divisors, whose sum is σ = 2675696744448. Its totient is φ = 212948092800.

The previous prime is 879365010137. The next prime is 879365010191. The reversal of 879365010150 is 51010563978.

It is a happy number.

879365010150 is a `hidden beast` number, since 8 + 7 + 93 + 6 + 501 + 0 + 1 + 50 = 666.

It is a super-2 number, since 2×879365010150² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 879365010096 and 879365010105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145274524 + ... + 145280576.

It is an arithmetic number, because the mean of its divisors is an integer number (9290613696).

Almost surely, 2^879365010150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879365010150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337848372224).

879365010150 is an abundant number, since it is smaller than the sum of its proper divisors (1796331734298).

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

879365010150 is a wasteful number, since it uses less digits than its factorization.

879365010150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 879365010150 in words is "eight hundred seventy-nine billion, three hundred sixty-five million, ten thousand, one hundred fifty".