49998266640000 has 3840 divisors, whose sum is σ = 225480423168000. Its totient is φ = 10380496896000.

The previous prime is 49998266639983. The next prime is 49998266640001. The reversal of 49998266640000 is 4666289994.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49998266640000.

It is not an unprimeable number, because it can be changed into a prime (49998266640001) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 359699759931 + ... + 359699760069.

It is an arithmetic number, because the mean of its divisors is an integer number (58718860200).

Almost surely, 2^{49998266640000} is an apocalyptic number.

49998266640000 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 49998266640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112740211584000).

49998266640000 is an abundant number, since it is smaller than the sum of its proper divisors (175482156528000).

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

49998266640000 is a wasteful number, since it uses less digits than its factorization.

49998266640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 49998266640000 in words is "forty-nine trillion, nine hundred ninety-eight billion, two hundred sixty-six million, six hundred forty thousand".