9857101680 has 160 divisors (see below), whose sum is σ = 34528147200. Its totient is φ = 2583975168.

The previous prime is 9857101679. The next prime is 9857101693. The reversal of 9857101680 is 861017589.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88767 + ... + 166113.

It is an arithmetic number, because the mean of its divisors is an integer number (215800920).

Almost surely, 2^9857101680 is an apocalyptic number.

9857101680 is a gapful number since it is divisible by the number (90) 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 9857101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264073600).

9857101680 is an abundant number, since it is smaller than the sum of its proper divisors (24671045520).

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

9857101680 is a wasteful number, since it uses less digits than its factorization.

9857101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77428 (or 77416 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 9857101680 is about 99282.9375069050. The cubic root of 9857101680 is about 2144.1232467485.

The spelling of 9857101680 in words is "nine billion, eight hundred fifty-seven million, one hundred one thousand, six hundred eighty".