49560109200 has 1800 divisors, whose sum is σ = 229064267520. Its totient is φ = 10189670400.

The previous prime is 49560109199. The next prime is 49560109259. The reversal of 49560109200 is 290106594.

49560109200 is a `hidden beast` number, since 4 + 9 + 560 + 1 + 0 + 92 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 935096374 + ... + 935096426.

Almost surely, 2^49560109200 is an apocalyptic number.

49560109200 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 49560109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114532133760).

49560109200 is an abundant number, since it is smaller than the sum of its proper divisors (179504158320).

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

49560109200 is a wasteful number, since it uses less digits than its factorization.

49560109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 49560109200 in words is "forty-nine billion, five hundred sixty million, one hundred nine thousand, two hundred".