861240086784000 has 5376 divisors, whose sum is σ = 4077307224506880. Its totient is φ = 176292495360000.

The previous prime is 861240086783981. The next prime is 861240086784023. The reversal of 861240086784000 is 487680042168.

861240086784000 is a `hidden beast` number, since 86 + 1 + 2 + 400 + 86 + 7 + 84 + 0 + 0 + 0 = 666.

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

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 (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1049013503590 + ... + 1049013504410.

It is an arithmetic number, because the mean of its divisors is an integer number (758427683130).

Almost surely, 2^{861240086784000} is an apocalyptic number.

861240086784000 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 861240086784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038653612253440).

861240086784000 is an abundant number, since it is smaller than the sum of its proper divisors (3216067137722880).

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

861240086784000 is an equidigital number, since it uses as much as digits as its factorization.

861240086784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 861240086784000 in words is "eight hundred sixty-one trillion, two hundred forty billion, eighty-six million, seven hundred eighty-four thousand".