49595281344000 has 2880 divisors, whose sum is σ = 217106681425920. Its totient is φ = 11063966515200.

The previous prime is 49595281343977. The next prime is 49595281344017. The reversal of 49595281344000 is 44318259594.

It is a happy number.

49595281344000 is a `hidden beast` number, since 4 + 9 + 59 + 52 + 8 + 134 + 400 + 0 = 666.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 138148415821 + ... + 138148416179.

It is an arithmetic number, because the mean of its divisors is an integer number (75384264384).

Almost surely, 2^{49595281344000} is an apocalyptic number.

49595281344000 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 49595281344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108553340712960).

49595281344000 is an abundant number, since it is smaller than the sum of its proper divisors (167511400081920).

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

49595281344000 is an frugal number, since it uses more digits than its factorization.

49595281344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 49595281344000 in words is "forty-nine trillion, five hundred ninety-five billion, two hundred eighty-one million, three hundred forty-four thousand".