49295312755200 has 1440 divisors, whose sum is σ = 186668015339520. Its totient is φ = 12404706508800.

The previous prime is 49295312755163. The next prime is 49295312755211. The reversal of 49295312755200 is 255721359294.

49295312755200 is a `hidden beast` number, since 4 + 9 + 2 + 95 + 3 + 1 + 27 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×49295312755200³ (a number of 42 digits) contains 333 as substring.

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, 85433817312 + ... + 85433817888.

It is an arithmetic number, because the mean of its divisors is an integer number (129630566208).

Almost surely, 2^{49295312755200} is an apocalyptic number.

49295312755200 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 49295312755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93334007669760).

49295312755200 is an abundant number, since it is smaller than the sum of its proper divisors (137372702584320).

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

49295312755200 is a wasteful number, since it uses less digits than its factorization.

49295312755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 49295312755200 in words is "forty-nine trillion, two hundred ninety-five billion, three hundred twelve million, seven hundred fifty-five thousand, two hundred".