83825761528544 has 96 divisors (see below), whose sum is σ = 200521674662400. Its totient is φ = 33714990346752.

The previous prime is 83825761528501. The next prime is 83825761528573. The reversal of 83825761528544 is 44582516752838.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 153222494 + ... + 153768605.

It is an arithmetic number, because the mean of its divisors is an integer number (2088767444400).

Almost surely, 2^{83825761528544} is an apocalyptic number.

It is an amenable number.

83825761528544 is an abundant number, since it is smaller than the sum of its proper divisors (116695913133856).

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

83825761528544 is a wasteful number, since it uses less digits than its factorization.

83825761528544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306991192 (or 306991184 counting only the distinct ones).

The product of its digits is 516096000, while the sum is 68.

The spelling of 83825761528544 in words is "eighty-three trillion, eight hundred twenty-five billion, seven hundred sixty-one million, five hundred twenty-eight thousand, five hundred forty-four".