49977817472 has 128 divisors (see below), whose sum is σ = 115165670400. Its totient is φ = 21351178240.

The previous prime is 49977817471. The next prime is 49977817481. The reversal of 49977817472 is 27471877994.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 49977817399 and 49977817408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49977817471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31570793 + ... + 31572375.

It is an arithmetic number, because the mean of its divisors is an integer number (899731800).

Almost surely, 2^49977817472 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 49977817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57582835200).

49977817472 is an abundant number, since it is smaller than the sum of its proper divisors (65187852928).

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

49977817472 is a wasteful number, since it uses less digits than its factorization.

49977817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2932 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 65.

The spelling of 49977817472 in words is "forty-nine billion, nine hundred seventy-seven million, eight hundred seventeen thousand, four hundred seventy-two".