83030507660232 has 512 divisors, whose sum is σ = 264261823488000. Its totient is φ = 23909840317440.

The previous prime is 83030507660213. The next prime is 83030507660249. The reversal of 83030507660232 is 23206670503038.

83030507660232 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 0 + 5 + 0 + 7 + 6 + 602 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17745350869 + ... + 17745355547.

It is an arithmetic number, because the mean of its divisors is an integer number (516136374000).

Almost surely, 2^{83030507660232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83030507660232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132130911744000).

83030507660232 is an abundant number, since it is smaller than the sum of its proper divisors (181231315827768).

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

83030507660232 is a wasteful number, since it uses less digits than its factorization.

83030507660232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 83030507660232 in words is "eighty-three trillion, thirty billion, five hundred seven million, six hundred sixty thousand, two hundred thirty-two".