9855657100800 has 540 divisors, whose sum is σ = 41029177436676. Its totient is φ = 2252720332800.

The previous prime is 9855657100799. The next prime is 9855657100829. The reversal of 9855657100800 is 80017565589.

9855657100800 is a `hidden beast` number, since 9 + 8 + 5 + 565 + 71 + 0 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×9855657100800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4771815 + ... + 6517785.

Almost surely, 2^{9855657100800} is an apocalyptic number.

9855657100800 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 9855657100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514588718338).

9855657100800 is an abundant number, since it is smaller than the sum of its proper divisors (31173520335876).

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

9855657100800 is a wasteful number, since it uses less digits than its factorization.

9855657100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746019 (or 1745988 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 9855657100800 in words is "nine trillion, eight hundred fifty-five billion, six hundred fifty-seven million, one hundred thousand, eight hundred".