49960219104 has 576 divisors, whose sum is σ = 162531532800. Its totient is φ = 14485008384.

The previous prime is 49960219103. The next prime is 49960219109. The reversal of 49960219104 is 40191206994.

49960219104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49960219104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49960219103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393387489 + ... + 393387615.

It is an arithmetic number, because the mean of its divisors is an integer number (282172800).

Almost surely, 2^49960219104 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 49960219104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81265766400).

49960219104 is an abundant number, since it is smaller than the sum of its proper divisors (112571313696).

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

49960219104 is a wasteful number, since it uses less digits than its factorization.

49960219104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 49960219104 in words is "forty-nine billion, nine hundred sixty million, two hundred nineteen thousand, one hundred four".