49585318725888 has 1728 divisors, whose sum is σ = 180845954553600. Its totient is φ = 13307668070400.

The previous prime is 49585318725857. The next prime is 49585318725911. The reversal of 49585318725888 is 88852781358594.

49585318725888 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 531 + 8 + 72 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 46734512878 + ... + 46734513938.

It is an arithmetic number, because the mean of its divisors is an integer number (104656223700).

Almost surely, 2^{49585318725888} is an apocalyptic number.

49585318725888 is a gapful number since it is divisible by the number (48) 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 49585318725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90422977276800).

49585318725888 is an abundant number, since it is smaller than the sum of its proper divisors (131260635827712).

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

49585318725888 is a wasteful number, since it uses less digits than its factorization.

49585318725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1286 counting only the distinct ones).

The product of its digits is 6193152000, while the sum is 81.

The spelling of 49585318725888 in words is "forty-nine trillion, five hundred eighty-five billion, three hundred eighteen million, seven hundred twenty-five thousand, eight hundred eighty-eight".