660853007100 has 1728 divisors, whose sum is σ = 2719509690240. Its totient is φ = 137952460800.

The previous prime is 660853007077. The next prime is 660853007119. The reversal of 660853007100 is 1700358066.

660853007100 is a `hidden beast` number, since 6 + 608 + 5 + 30 + 0 + 7 + 10 + 0 = 666.

It is a super-2 number, since 2×660853007100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 575 ways as a sum of consecutive naturals, for example, 5848256644 + ... + 5848256756.

It is an arithmetic number, because the mean of its divisors is an integer number (1573790330).

Almost surely, 2^660853007100 is an apocalyptic number.

660853007100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660853007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359754845120).

660853007100 is an abundant number, since it is smaller than the sum of its proper divisors (2058656683140).

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

660853007100 is a wasteful number, since it uses less digits than its factorization.

660853007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 660853007100 in words is "six hundred sixty billion, eight hundred fifty-three million, seven thousand, one hundred".