49305863667200 has 1440 divisors, whose sum is σ = 154328670904320. Its totient is φ = 15273138585600.

The previous prime is 49305863667191. The next prime is 49305863667253. The reversal of 49305863667200 is 276636850394.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49305863667200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191851609472 + ... + 191851609728.

It is an arithmetic number, because the mean of its divisors is an integer number (107172688128).

Almost surely, 2^{49305863667200} is an apocalyptic number.

49305863667200 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 49305863667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77164335452160).

49305863667200 is an abundant number, since it is smaller than the sum of its proper divisors (105022807237120).

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

49305863667200 is a wasteful number, since it uses less digits than its factorization.

49305863667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 59.

The spelling of 49305863667200 in words is "forty-nine trillion, three hundred five billion, eight hundred sixty-three million, six hundred sixty-seven thousand, two hundred".