49909582080 has 720 divisors, whose sum is σ = 186976944000. Its totient is φ = 12700385280.

The previous prime is 49909582061. The next prime is 49909582111. The reversal of 49909582080 is 8028590994.

49909582080 is a `hidden beast` number, since 499 + 0 + 9 + 58 + 20 + 80 = 666.

49909582080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250801821 + ... + 250802019.

It is an arithmetic number, because the mean of its divisors is an integer number (259690200).

Almost surely, 2^49909582080 is an apocalyptic number.

49909582080 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 49909582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93488472000).

49909582080 is an abundant number, since it is smaller than the sum of its proper divisors (137067361920).

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

49909582080 is a wasteful number, since it uses less digits than its factorization.

49909582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 49909582080 in words is "forty-nine billion, nine hundred nine million, five hundred eighty-two thousand, eighty".