49988445534720 has 3840 divisors, whose sum is σ = 238334203920384. Its totient is φ = 9364045824000.

The previous prime is 49988445534691. The next prime is 49988445534721. The reversal of 49988445534720 is 2743554488994.

49988445534720 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 8 + 4 + 4 + 553 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is not an unprimeable number, because it can be changed into a prime (49988445534721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 118737400110 + ... + 118737400530.

Almost surely, 2^{49988445534720} is an apocalyptic number.

49988445534720 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 49988445534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119167101960192).

49988445534720 is an abundant number, since it is smaller than the sum of its proper divisors (188345758385664).

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

49988445534720 is a wasteful number, since it uses less digits than its factorization.

49988445534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 49988445534720 in words is "forty-nine trillion, nine hundred eighty-eight billion, four hundred forty-five million, five hundred thirty-four thousand, seven hundred twenty".