85782624401100 has 216 divisors, whose sum is σ = 278616901377024. Its totient is φ = 20353323760000.

The previous prime is 85782624401051. The next prime is 85782624401129. The reversal of 85782624401100 is 110442628758.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85782624401100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23433876 + ... + 26846075.

Almost surely, 2^{85782624401100} is an apocalyptic number.

It is an amenable number.

85782624401100 is an abundant number, since it is smaller than the sum of its proper divisors (192834276975924).

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

85782624401100 is a wasteful number, since it uses less digits than its factorization.

85782624401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50280037 (or 50280019 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 85782624401100 in words is "eighty-five trillion, seven hundred eighty-two billion, six hundred twenty-four million, four hundred one thousand, one hundred".