850715127465840 has 6400 divisors, whose sum is σ = 4112335129706496. Its totient is φ = 157889278771200.

The previous prime is 850715127465811. The next prime is 850715127465851. The reversal of 850715127465840 is 48564721517058.

850715127465840 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 1 + 5 + 1 + 2 + 7 + 46 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 2771059046967 + ... + 2771059047273.

Almost surely, 2^{850715127465840} is an apocalyptic number.

850715127465840 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 850715127465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056167564853248).

850715127465840 is an abundant number, since it is smaller than the sum of its proper divisors (3261620002240656).

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

850715127465840 is a wasteful number, since it uses less digits than its factorization.

850715127465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 850715127465840 in words is "eight hundred fifty trillion, seven hundred fifteen billion, one hundred twenty-seven million, four hundred sixty-five thousand, eight hundred forty".