49743579105792 has 1920 divisors, whose sum is σ = 185887933482240. Its totient is φ = 13081883443200.

The previous prime is 49743579105761. The next prime is 49743579105851. The reversal of 49743579105792 is 29750197534794.

49743579105792 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 35 + 7 + 9 + 10 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49743579105792.

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, 52862464042 + ... + 52862464982.

It is an arithmetic number, because the mean of its divisors is an integer number (96816632022).

Almost surely, 2^{49743579105792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49743579105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92943966741120).

49743579105792 is an abundant number, since it is smaller than the sum of its proper divisors (136144354376448).

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

49743579105792 is a wasteful number, since it uses less digits than its factorization.

49743579105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 49743579105792 in words is "forty-nine trillion, seven hundred forty-three billion, five hundred seventy-nine million, one hundred five thousand, seven hundred ninety-two".