83371512438240 has 768 divisors, whose sum is σ = 305183032197120. Its totient is φ = 18962761973760.

The previous prime is 83371512438229. The next prime is 83371512438241. The reversal of 83371512438240 is 4283421517338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83371512438241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2531532814 + ... + 2531565746.

It is an arithmetic number, because the mean of its divisors is an integer number (397373739840).

Almost surely, 2^{83371512438240} is an apocalyptic number.

83371512438240 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 83371512438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152591516098560).

83371512438240 is an abundant number, since it is smaller than the sum of its proper divisors (221811519758880).

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

83371512438240 is a wasteful number, since it uses less digits than its factorization.

83371512438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33587 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 83371512438240 in words is "eighty-three trillion, three hundred seventy-one billion, five hundred twelve million, four hundred thirty-eight thousand, two hundred forty".