986795516400 has 480 divisors, whose sum is σ = 3362133381120. Its totient is φ = 247016448000.

The previous prime is 986795516393. The next prime is 986795516431. The reversal of 986795516400 is 4615597689.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180365665 + ... + 180371135.

It is an arithmetic number, because the mean of its divisors is an integer number (7004444544).

Almost surely, 2^986795516400 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 986795516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681066690560).

986795516400 is an abundant number, since it is smaller than the sum of its proper divisors (2375337864720).

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

986795516400 is a wasteful number, since it uses less digits than its factorization.

986795516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 986795516400 in words is "nine hundred eighty-six billion, seven hundred ninety-five million, five hundred sixteen thousand, four hundred".