83725708950864 has 480 divisors, whose sum is σ = 258503587640064. Its totient is φ = 25188307845120.

The previous prime is 83725708950859. The next prime is 83725708950937. The reversal of 83725708950864 is 46805980752738.

83725708950864 is a `hidden beast` number, since 8 + 3 + 7 + 2 + 57 + 0 + 8 + 9 + 508 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83725708950792 and 83725708950801.

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 95 ways as a sum of consecutive naturals, for example, 1968466942 + ... + 1968509474.

Almost surely, 2^{83725708950864} 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 83725708950864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129251793820032).

83725708950864 is an abundant number, since it is smaller than the sum of its proper divisors (174777878689200).

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

83725708950864 is a wasteful number, since it uses less digits than its factorization.

83725708950864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42915 (or 42906 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 83725708950864 in words is "eighty-three trillion, seven hundred twenty-five billion, seven hundred eight million, nine hundred fifty thousand, eight hundred sixty-four".