850979340288 has 1440 divisors, whose sum is σ = 3313482923520. Its totient is φ = 213292154880.

The previous prime is 850979340283. The next prime is 850979340313. The reversal of 850979340288 is 882043979058.

850979340288 is a `hidden beast` number, since 8 + 5 + 0 + 9 + 7 + 9 + 340 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (850979340283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10252763095 + ... + 10252763177.

It is an arithmetic number, because the mean of its divisors is an integer number (2301029808).

Almost surely, 2^850979340288 is an apocalyptic number.

850979340288 is a gapful number since it is divisible by the number (88) 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 850979340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656741461760).

850979340288 is an abundant number, since it is smaller than the sum of its proper divisors (2462503583232).

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

850979340288 is a wasteful number, since it uses less digits than its factorization.

850979340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 850979340288 in words is "eight hundred fifty billion, nine hundred seventy-nine million, three hundred forty thousand, two hundred eighty-eight".