49513387968000 has 1280 divisors, whose sum is σ = 199793962368000. Its totient is φ = 11987914752000.

The previous prime is 49513387967999. The next prime is 49513387968071. The reversal of 49513387968000 is 86978331594.

49513387968000 is a `hidden beast` number, since 4 + 9 + 513 + 38 + 7 + 9 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23931070966 + ... + 23931073034.

It is an arithmetic number, because the mean of its divisors is an integer number (156089033100).

Almost surely, 2^{49513387968000} is an apocalyptic number.

49513387968000 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 49513387968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99896981184000).

49513387968000 is an abundant number, since it is smaller than the sum of its proper divisors (150280574400000).

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

49513387968000 is a wasteful number, since it uses less digits than its factorization.

49513387968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 49513387968000 in words is "forty-nine trillion, five hundred thirteen billion, three hundred eighty-seven million, nine hundred sixty-eight thousand".