4985092569600 has 2880 divisors, whose sum is σ = 22340890091520. Its totient is φ = 1044253900800.

The previous prime is 4985092569571. The next prime is 4985092569601. The reversal of 4985092569600 is 69652905894.

4985092569600 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 0 + 9 + 2 + 569 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4985092569600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4985092569601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 22354675089 + ... + 22354675311.

It is an arithmetic number, because the mean of its divisors is an integer number (7757253504).

Almost surely, 2^{4985092569600} is an apocalyptic number.

4985092569600 is a gapful number since it is divisible by the number (40) 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 4985092569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170445045760).

4985092569600 is an abundant number, since it is smaller than the sum of its proper divisors (17355797521920).

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

4985092569600 is a wasteful number, since it uses less digits than its factorization.

4985092569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 4985092569600 in words is "four trillion, nine hundred eighty-five billion, ninety-two million, five hundred sixty-nine thousand, six hundred".