83295051840 has 896 divisors, whose sum is σ = 394576035840. Its totient is φ = 15975014400.

The previous prime is 83295051817. The next prime is 83295051859. The reversal of 83295051840 is 4815059238.

83295051840 is a `hidden beast` number, since 8 + 3 + 2 + 95 + 0 + 518 + 40 = 666.

It is a super-2 number, since 2×83295051840² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8643825 + ... + 8653455.

It is an arithmetic number, because the mean of its divisors is an integer number (440375040).

Almost surely, 2^83295051840 is an apocalyptic number.

83295051840 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 83295051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197288017920).

83295051840 is an abundant number, since it is smaller than the sum of its proper divisors (311280984000).

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

83295051840 is a wasteful number, since it uses less digits than its factorization.

83295051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9672 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 83295051840 in words is "eighty-three billion, two hundred ninety-five million, fifty-one thousand, eight hundred forty".