83941315920 has 720 divisors, whose sum is σ = 362762442432. Its totient is φ = 17197608960.

The previous prime is 83941315907. The next prime is 83941316033. The reversal of 83941315920 is 2951314938.

It is a happy number.

83941315920 is a `hidden beast` number, since 83 + 9 + 413 + 159 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×83941315920² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28328359 + ... + 28331321.

Almost surely, 2^83941315920 is an apocalyptic number.

83941315920 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 83941315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181381221216).

83941315920 is an abundant number, since it is smaller than the sum of its proper divisors (278821126512).

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

83941315920 is a wasteful number, since it uses less digits than its factorization.

83941315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 83941315920 in words is "eighty-three billion, nine hundred forty-one million, three hundred fifteen thousand, nine hundred twenty".