83971375488 has 1792 divisors, whose sum is σ = 359609241600. Its totient is φ = 18811699200.

The previous prime is 83971375483. The next prime is 83971375531. The reversal of 83971375488 is 88457317938.

83971375488 is a `hidden beast` number, since 83 + 9 + 7 + 1 + 3 + 7 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (40642560) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83971375483) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 2708754033 + ... + 2708754063.

It is an arithmetic number, because the mean of its divisors is an integer number (200674800).

Almost surely, 2^83971375488 is an apocalyptic number.

83971375488 is a gapful number since it is divisible by the number (88) 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 83971375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179804620800).

83971375488 is an abundant number, since it is smaller than the sum of its proper divisors (275637866112).

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

83971375488 is a wasteful number, since it uses less digits than its factorization.

83971375488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 83971375488 in words is "eighty-three billion, nine hundred seventy-one million, three hundred seventy-five thousand, four hundred eighty-eight".