86433426899120 has 320 divisors, whose sum is σ = 250305350860800. Its totient is φ = 27082734206976.

The previous prime is 86433426899101. The next prime is 86433426899189. The reversal of 86433426899120 is 2199862433468.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56064356 + ... + 57585404.

It is an arithmetic number, because the mean of its divisors is an integer number (782204221440).

Almost surely, 2^{86433426899120} is an apocalyptic number.

86433426899120 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 86433426899120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125152675430400).

86433426899120 is an abundant number, since it is smaller than the sum of its proper divisors (163871923961680).

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

86433426899120 is a wasteful number, since it uses less digits than its factorization.

86433426899120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521260 (or 1521254 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 65.

The spelling of 86433426899120 in words is "eighty-six trillion, four hundred thirty-three billion, four hundred twenty-six million, eight hundred ninety-nine thousand, one hundred twenty".