83126593440 has 960 divisors, whose sum is σ = 332123742720. Its totient is φ = 19570636800.

The previous prime is 83126593357. The next prime is 83126593477. The reversal of 83126593440 is 4439562138.

83126593440 is a `hidden beast` number, since 8 + 3 + 12 + 6 + 593 + 4 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1052235321 + ... + 1052235399.

It is an arithmetic number, because the mean of its divisors is an integer number (345962232).

Almost surely, 2^83126593440 is an apocalyptic number.

83126593440 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 83126593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166061871360).

83126593440 is an abundant number, since it is smaller than the sum of its proper divisors (248997149280).

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

83126593440 is a wasteful number, since it uses less digits than its factorization.

83126593440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 83126593440 in words is "eighty-three billion, one hundred twenty-six million, five hundred ninety-three thousand, four hundred forty".