83295765504 has 1056 divisors, whose sum is σ = 315448922880. Its totient is φ = 21403533312.

The previous prime is 83295765499. The next prime is 83295765523. The reversal of 83295765504 is 40556759238.

83295765504 is a `hidden beast` number, since 8 + 3 + 29 + 57 + 65 + 504 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858719184 + ... + 858719280.

Almost surely, 2^83295765504 is an apocalyptic number.

83295765504 is a gapful number since it is divisible by the number (84) 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 83295765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157724461440).

83295765504 is an abundant number, since it is smaller than the sum of its proper divisors (232153157376).

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

83295765504 is a wasteful number, since it uses less digits than its factorization.

83295765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 83295765504 in words is "eighty-three billion, two hundred ninety-five million, seven hundred sixty-five thousand, five hundred four".