86188720761600 has 216 divisors, whose sum is σ = 285498152105040. Its totient is φ = 22898216386560.

The previous prime is 86188720761587. The next prime is 86188720761643. The reversal of 86188720761600 is 616702788168.

It is a happy number.

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

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, 3179059 + ... + 13508658.

It is an arithmetic number, because the mean of its divisors is an integer number (1321750704190).

Almost surely, 2^{86188720761600} is an apocalyptic number.

86188720761600 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 86188720761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142749076052520).

86188720761600 is an abundant number, since it is smaller than the sum of its proper divisors (199309431343440).

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

86188720761600 is a wasteful number, since it uses less digits than its factorization.

86188720761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688015 (or 16687996 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 86188720761600 in words is "eighty-six trillion, one hundred eighty-eight billion, seven hundred twenty million, seven hundred sixty-one thousand, six hundred".