849490059600 has 1800 divisors, whose sum is σ = 3881366755200. Its totient is φ = 174097797120.

The previous prime is 849490059599. The next prime is 849490059643. The reversal of 849490059600 is 6950094948.

849490059600 is a `hidden beast` number, since 8 + 4 + 9 + 49 + 0 + 0 + 596 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×849490059600² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 1418180101 + ... + 1418180699.

It is an arithmetic number, because the mean of its divisors is an integer number (2156314864).

Almost surely, 2^849490059600 is an apocalyptic number.

849490059600 is a gapful number since it is divisible by the number (80) 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 849490059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940683377600).

849490059600 is an abundant number, since it is smaller than the sum of its proper divisors (3031876695600).

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

849490059600 is a wasteful number, since it uses less digits than its factorization.

849490059600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 849490059600 in words is "eight hundred forty-nine billion, four hundred ninety million, fifty-nine thousand, six hundred".