49665121228800 has 5760 divisors, whose sum is σ = 246316034764800. Its totient is φ = 9586999296000.

The previous prime is 49665121228727. The next prime is 49665121228841. The reversal of 49665121228800 is 882212156694.

49665121228800 is a `hidden beast` number, since 4 + 96 + 6 + 512 + 12 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 287081625514 + ... + 287081625686.

It is an arithmetic number, because the mean of its divisors is an integer number (42763200480).

Almost surely, 2^{49665121228800} is an apocalyptic number.

49665121228800 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 49665121228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123158017382400).

49665121228800 is an abundant number, since it is smaller than the sum of its proper divisors (196650913536000).

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

49665121228800 is a wasteful number, since it uses less digits than its factorization.

49665121228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 49665121228800 in words is "forty-nine trillion, six hundred sixty-five billion, one hundred twenty-one million, two hundred twenty-eight thousand, eight hundred".