83974771163520 has 1920 divisors, whose sum is σ = 330607227456000. Its totient is φ = 20252406620160.

The previous prime is 83974771163473. The next prime is 83974771163531. The reversal of 83974771163520 is 2536117747938.

83974771163520 is a `hidden beast` number, since 8 + 3 + 9 + 7 + 47 + 7 + 1 + 1 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 74777177679 + ... + 74777178801.

It is an arithmetic number, because the mean of its divisors is an integer number (172191264300).

It is a 1-persistent number, because it is pandigital, but 2⋅83974771163520 = 167949542327040 is not.

Almost surely, 2^{83974771163520} is an apocalyptic number.

83974771163520 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 83974771163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165303613728000).

83974771163520 is an abundant number, since it is smaller than the sum of its proper divisors (246632456292480).

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

83974771163520 is a wasteful number, since it uses less digits than its factorization.

83974771163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 83974771163520 in words is "eighty-three trillion, nine hundred seventy-four billion, seven hundred seventy-one million, one hundred sixty-three thousand, five hundred twenty".