83581079040 has 640 divisors, whose sum is σ = 322750771200. Its totient is φ = 20424130560.

The previous prime is 83581079033. The next prime is 83581079047. The reversal of 83581079040 is 4097018538.

It is an interprime number because it is at equal distance from previous prime (83581079033) and next prime (83581079047).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83581079047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40710654 + ... + 40712706.

It is an arithmetic number, because the mean of its divisors is an integer number (504298080).

Almost surely, 2^83581079040 is an apocalyptic number.

83581079040 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 83581079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161375385600).

83581079040 is an abundant number, since it is smaller than the sum of its proper divisors (239169692160).

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

83581079040 is a wasteful number, since it uses less digits than its factorization.

83581079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 83581079040 in words is "eighty-three billion, five hundred eighty-one million, seventy-nine thousand, forty".