860905013760 has 800 divisors, whose sum is σ = 3374795945664. Its totient is φ = 208023552000.

The previous prime is 860905013753. The next prime is 860905013807. The reversal of 860905013760 is 67310509068.

It is a happy number.

860905013760 is a `hidden beast` number, since 8 + 609 + 0 + 5 + 0 + 1 + 37 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1302427830 + ... + 1302428490.

Almost surely, 2^860905013760 is an apocalyptic number.

860905013760 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 860905013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687397972832).

860905013760 is an abundant number, since it is smaller than the sum of its proper divisors (2513890931904).

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

860905013760 is a wasteful number, since it uses less digits than its factorization.

860905013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 860905013760 in words is "eight hundred sixty billion, nine hundred five million, thirteen thousand, seven hundred sixty".