49825575552 has 128 divisors (see below), whose sum is σ = 134236569600. Its totient is φ = 16372362240.

The previous prime is 49825575521. The next prime is 49825575557. The reversal of 49825575552 is 25557552894.

49825575552 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 (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49825575492 and 49825575501.

It is not an unprimeable number, because it can be changed into a prime (49825575557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32974477 + ... + 32975987.

It is an arithmetic number, because the mean of its divisors is an integer number (1048723200).

Almost surely, 2^49825575552 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 49825575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67118284800).

49825575552 is an abundant number, since it is smaller than the sum of its proper divisors (84410994048).

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

49825575552 is a wasteful number, since it uses less digits than its factorization.

49825575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2682 counting only the distinct ones).

The product of its digits is 25200000, while the sum is 57.

The spelling of 49825575552 in words is "forty-nine billion, eight hundred twenty-five million, five hundred seventy-five thousand, five hundred fifty-two".