85379940100 has 72 divisors (see below), whose sum is σ = 228030141248. Its totient is φ = 27021340800.

The previous prime is 85379940073. The next prime is 85379940101. The reversal of 85379940100 is 104997358.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85379940101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682106 + ... + 4700305.

Almost surely, 2^85379940100 is an apocalyptic number.

It is an amenable number.

85379940100 is an abundant number, since it is smaller than the sum of its proper divisors (142650201148).

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

85379940100 is a wasteful number, since it uses less digits than its factorization.

85379940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382445 (or 9382438 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 85379940100 in words is "eighty-five billion, three hundred seventy-nine million, nine hundred forty thousand, one hundred".