860689299070080 has 2560 divisors, whose sum is σ = 3384724171530240. Its totient is φ = 207536685318144.

The previous prime is 860689299070049. The next prime is 860689299070109. The reversal of 860689299070080 is 80070992986068.

860689299070080 is a `hidden beast` number, since 8 + 606 + 8 + 9 + 2 + 9 + 9 + 0 + 7 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×860689299070080² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 860689299069990 and 860689299070008.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1271328358702 + ... + 1271328359378.

It is an arithmetic number, because the mean of its divisors is an integer number (1322157879504).

Almost surely, 2^{860689299070080} is an apocalyptic number.

860689299070080 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 860689299070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692362085765120).

860689299070080 is an abundant number, since it is smaller than the sum of its proper divisors (2524034872460160).

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

860689299070080 is a wasteful number, since it uses less digits than its factorization.

860689299070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 860689299070080 in words is "eight hundred sixty trillion, six hundred eighty-nine billion, two hundred ninety-nine million, seventy thousand, eighty".