49181600563200 has 2880 divisors, whose sum is σ = 225063678336000. Its totient is φ = 10273695989760.

The previous prime is 49181600563169. The next prime is 49181600563231. The reversal of 49181600563200 is 236500618194.

49181600563200 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 1 + 6 + 0 + 0 + 5 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49181600563169) and next prime (49181600563231).

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

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 191 ways as a sum of consecutive naturals, for example, 42655333824 + ... + 42655334976.

Almost surely, 2^{49181600563200} is an apocalyptic number.

49181600563200 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 49181600563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112531839168000).

49181600563200 is an abundant number, since it is smaller than the sum of its proper divisors (175882077772800).

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

49181600563200 is a wasteful number, since it uses less digits than its factorization.

49181600563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 49181600563200 in words is "forty-nine trillion, one hundred eighty-one billion, six hundred million, five hundred sixty-three thousand, two hundred".