9985621377600 has 2688 divisors, whose sum is σ = 44254127554560. Its totient is φ = 2160525312000.

The previous prime is 9985621377593. The next prime is 9985621377601. The reversal of 9985621377600 is 67731265899.

9985621377600 is a `hidden beast` number, since 9 + 9 + 8 + 5 + 6 + 2 + 13 + 7 + 7 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (9985621377601) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 41434113480 + ... + 41434113720.

It is an arithmetic number, because the mean of its divisors is an integer number (16463589120).

Almost surely, 2^{9985621377600} is an apocalyptic number.

9985621377600 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 9985621377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127063777280).

9985621377600 is an abundant number, since it is smaller than the sum of its proper divisors (34268506176960).

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

9985621377600 is a wasteful number, since it uses less digits than its factorization.

9985621377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 9985621377600 in words is "nine trillion, nine hundred eighty-five billion, six hundred twenty-one million, three hundred seventy-seven thousand, six hundred".