86633349120 has 552 divisors, whose sum is σ = 329772918384. Its totient is φ = 21743271936.

The previous prime is 86633349071. The next prime is 86633349151. The reversal of 86633349120 is 2194333668.

86633349120 is a `hidden beast` number, since 8 + 6 + 633 + 3 + 4 + 9 + 1 + 2 + 0 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

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, 5096079352 + ... + 5096079368.

Almost surely, 2^86633349120 is an apocalyptic number.

86633349120 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 86633349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164886459192).

86633349120 is an abundant number, since it is smaller than the sum of its proper divisors (243139569264).

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

86633349120 is an frugal number, since it uses more digits than its factorization.

86633349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 86633349120 in words is "eighty-six billion, six hundred thirty-three million, three hundred forty-nine thousand, one hundred twenty".