860728931112960 has 5376 divisors, whose sum is σ = 4094477243700480. Its totient is φ = 168415230689280.

The previous prime is 860728931112949. The next prime is 860728931112961. The reversal of 860728931112960 is 69211139827068.

860728931112960 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 28 + 9 + 311 + 1 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×860728931112960² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860728931112961) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 843025397250 + ... + 843025398270.

It is an arithmetic number, because the mean of its divisors is an integer number (761621511105).

Almost surely, 2^{860728931112960} is an apocalyptic number.

860728931112960 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 860728931112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047238621850240).

860728931112960 is an abundant number, since it is smaller than the sum of its proper divisors (3233748312587520).

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

860728931112960 is a wasteful number, since it uses less digits than its factorization.

860728931112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 860728931112960 in words is "eight hundred sixty trillion, seven hundred twenty-eight billion, nine hundred thirty-one million, one hundred twelve thousand, nine hundred sixty".