86035033768320 has 1600 divisors, whose sum is σ = 386012120765040. Its totient is φ = 18152105287680.

The previous prime is 86035033768241. The next prime is 86035033768331. The reversal of 86035033768320 is 2386733053068.

86035033768320 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 503 + 37 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1618055335 + ... + 1618108505.

Almost surely, 2^{86035033768320} is an apocalyptic number.

86035033768320 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 86035033768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193006060382520).

86035033768320 is an abundant number, since it is smaller than the sum of its proper divisors (299977086996720).

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

86035033768320 is an equidigital number, since it uses as much as digits as its factorization.

86035033768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53243 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 86035033768320 in words is "eighty-six trillion, thirty-five billion, thirty-three million, seven hundred sixty-eight thousand, three hundred twenty".