986510113920 has 192 divisors, whose sum is σ = 3441663683640. Its totient is φ = 260357160960.

The previous prime is 986510113891. The next prime is 986510113943. The reversal of 986510113920 is 29311015689.

986510113920 is a `hidden beast` number, since 9 + 86 + 510 + 1 + 1 + 39 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 910161792576 + 76348321344 = 954024^2 + 276312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324111 + ... + 1441550.

Almost surely, 2^986510113920 is an apocalyptic number.

986510113920 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 986510113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720831841820).

986510113920 is an abundant number, since it is smaller than the sum of its proper divisors (2455153569720).

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

986510113920 is a wasteful number, since it uses less digits than its factorization.

986510113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765783 (or 1765768 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 986510113920 in words is "nine hundred eighty-six billion, five hundred ten million, one hundred thirteen thousand, nine hundred twenty".