9861977160 has 192 divisors, whose sum is σ = 37378224000. Its totient is φ = 2254137984.

The previous prime is 9861977159. The next prime is 9861977179. The reversal of 9861977160 is 617791689.

9861977160 is a `hidden beast` number, since 9 + 8 + 619 + 7 + 7 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9861977097 and 9861977106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83547 + ... + 163413.

It is an arithmetic number, because the mean of its divisors is an integer number (194678250).

Almost surely, 2^9861977160 is an apocalyptic number.

9861977160 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 9861977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689112000).

9861977160 is an abundant number, since it is smaller than the sum of its proper divisors (27516246840).

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

9861977160 is a wasteful number, since it uses less digits than its factorization.

9861977160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79905 (or 79884 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 9861977160 is about 99307.4879352005. The cubic root of 9861977160 is about 2144.4766943544.

The spelling of 9861977160 in words is "nine billion, eight hundred sixty-one million, nine hundred seventy-seven thousand, one hundred sixty".