49833273600 has 756 divisors, whose sum is σ = 201952980432. Its totient is φ = 12068352000.

The previous prime is 49833273569. The next prime is 49833273613. The reversal of 49833273600 is 637233894.

49833273600 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 32 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51321115 + ... + 51322085.

It is an arithmetic number, because the mean of its divisors is an integer number (267133572).

Almost surely, 2^49833273600 is an apocalyptic number.

49833273600 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 49833273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100976490216).

49833273600 is an abundant number, since it is smaller than the sum of its proper divisors (152119706832).

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

49833273600 is an equidigital number, since it uses as much as digits as its factorization.

49833273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 49833273600 in words is "forty-nine billion, eight hundred thirty-three million, two hundred seventy-three thousand, six hundred".