82507500750100 has 72 divisors (see below), whose sum is σ = 180443773546848. Its totient is φ = 32745467971200.

The previous prime is 82507500750079. The next prime is 82507500750113. The reversal of 82507500750100 is 105700570528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448555 + ... + 12853645.

It is an arithmetic number, because the mean of its divisors is an integer number (2506163521484).

Almost surely, 2^{82507500750100} is an apocalyptic number.

It is an amenable number.

82507500750100 is an abundant number, since it is smaller than the sum of its proper divisors (97936272796748).

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

82507500750100 is a wasteful number, since it uses less digits than its factorization.

82507500750100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405625 (or 12405618 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 40.

The spelling of 82507500750100 in words is "eighty-two trillion, five hundred seven billion, five hundred million, seven hundred fifty thousand, one hundred".