861270071688 has 320 divisors, whose sum is σ = 2738879256960. Its totient is φ = 250865455104.

The previous prime is 861270071677. The next prime is 861270071729. The reversal of 861270071688 is 886170072168.

It is a happy number.

861270071688 is a `hidden beast` number, since 8 + 612 + 7 + 0 + 0 + 7 + 16 + 8 + 8 = 666.

It is a super-3 number, since 3×861270071688³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18771031 + ... + 18816857.

It is an arithmetic number, because the mean of its divisors is an integer number (8558997678).

Almost surely, 2^861270071688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861270071688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369439628480).

861270071688 is an abundant number, since it is smaller than the sum of its proper divisors (1877609185272).

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

861270071688 is a wasteful number, since it uses less digits than its factorization.

861270071688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45978 (or 45965 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 861270071688 in words is "eight hundred sixty-one billion, two hundred seventy million, seventy-one thousand, six hundred eighty-eight".