861567713280 has 756 divisors, whose sum is σ = 3248654671080. Its totient is φ = 210637946880.

The previous prime is 861567713269. The next prime is 861567713387. The reversal of 861567713280 is 82317765168.

It is a happy number.

861567713280 is a `hidden beast` number, since 8 + 6 + 1 + 567 + 71 + 3 + 2 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27792506865 + ... + 27792506895.

Almost surely, 2^861567713280 is an apocalyptic number.

861567713280 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 861567713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624327335540).

861567713280 is an abundant number, since it is smaller than the sum of its proper divisors (2387086957800).

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

861567713280 is an frugal number, since it uses more digits than its factorization.

861567713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 861567713280 in words is "eight hundred sixty-one billion, five hundred sixty-seven million, seven hundred thirteen thousand, two hundred eighty".