86077747200 has 312 divisors, whose sum is σ = 292326043408. Its totient is φ = 22330736640.

The previous prime is 86077747187. The next prime is 86077747207. The reversal of 86077747200 is 274777068.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86077747200.

It is not an unprimeable number, because it can be changed into a prime (86077747207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11362614 + ... + 11370186.

Almost surely, 2^86077747200 is an apocalyptic number.

86077747200 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 86077747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146163021704).

86077747200 is an abundant number, since it is smaller than the sum of its proper divisors (206248296208).

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

86077747200 is a wasteful number, since it uses less digits than its factorization.

86077747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 86077747200 in words is "eighty-six billion, seventy-seven million, seven hundred forty-seven thousand, two hundred".