85097483100 has 1296 divisors, whose sum is σ = 356593176576. Its totient is φ = 16547328000.

The previous prime is 85097483099. The next prime is 85097483147. The reversal of 85097483100 is 138479058.

85097483100 is a `hidden beast` number, since 85 + 0 + 97 + 483 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×85097483100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1198556065 + ... + 1198556135.

It is an arithmetic number, because the mean of its divisors is an integer number (275149056).

Almost surely, 2^85097483100 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 85097483100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178296588288).

85097483100 is an abundant number, since it is smaller than the sum of its proper divisors (271495693476).

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

85097483100 is a wasteful number, since it uses less digits than its factorization.

85097483100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85097483100 in words is "eighty-five billion, ninety-seven million, four hundred eighty-three thousand, one hundred".