83876971500 has 768 divisors, whose sum is σ = 332107776000. Its totient is φ = 17841254400.

The previous prime is 83876971471. The next prime is 83876971571. The reversal of 83876971500 is 517967838.

83876971500 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 69 + 71 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175108261 + ... + 175108739.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 2^83876971500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83876971500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888000).

83876971500 is an abundant number, since it is smaller than the sum of its proper divisors (248230804500).

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

83876971500 is a wasteful number, since it uses less digits than its factorization.

83876971500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 83876971500 in words is "eighty-three billion, eight hundred seventy-six million, nine hundred seventy-one thousand, five hundred".