83086432128000 has 7040 divisors, whose sum is σ = 412162067865600. Its totient is φ = 16387080192000.

The previous prime is 83086432127989. The next prime is 83086432128121. The reversal of 83086432128000 is 82123468038.

83086432128000 is a `hidden beast` number, since 8 + 308 + 6 + 43 + 21 + 280 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2680207487985 + ... + 2680207488015.

Almost surely, 2^{83086432128000} is an apocalyptic number.

83086432128000 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 83086432128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206081033932800).

83086432128000 is an abundant number, since it is smaller than the sum of its proper divisors (329075635737600).

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

83086432128000 is a wasteful number, since it uses less digits than its factorization.

83086432128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83086432128000 in words is "eighty-three trillion, eighty-six billion, four hundred thirty-two million, one hundred twenty-eight thousand".