986941612800 has 1296 divisors, whose sum is σ = 4175827000800. Its totient is φ = 220542566400.

The previous prime is 986941612673. The next prime is 986941612801. The reversal of 986941612800 is 8216149689.

986941612800 is a `hidden beast` number, since 98 + 69 + 416 + 1 + 2 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (986941612801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1392018846 + ... + 1392019554.

Almost surely, 2^986941612800 is an apocalyptic number.

986941612800 is a gapful number since it is divisible by the number (90) 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 986941612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087913500400).

986941612800 is an abundant number, since it is smaller than the sum of its proper divisors (3188885388000).

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

986941612800 is a wasteful number, since it uses less digits than its factorization.

986941612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 986941612800 in words is "nine hundred eighty-six billion, nine hundred forty-one million, six hundred twelve thousand, eight hundred".