861894080000 has 200 divisors, whose sum is σ = 2154611459880. Its totient is φ = 344330240000.

The previous prime is 861894079997. The next prime is 861894080011. The reversal of 861894080000 is 80498168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×861894080000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435519011 + ... + 435520989.

Almost surely, 2^861894080000 is an apocalyptic number.

861894080000 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 861894080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077305729940).

861894080000 is an abundant number, since it is smaller than the sum of its proper divisors (1292717379880).

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

861894080000 is an equidigital number, since it uses as much as digits as its factorization.

861894080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 861894080000 in words is "eight hundred sixty-one billion, eight hundred ninety-four million, eighty thousand".