49538119680 has 576 divisors, whose sum is σ = 207805590720. Its totient is φ = 10654580736.

The previous prime is 49538119669. The next prime is 49538119681. The reversal of 49538119680 is 8691183594.

49538119680 is a `hidden beast` number, since 4 + 9 + 538 + 11 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49538119681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10964782 + ... + 10969298.

It is an arithmetic number, because the mean of its divisors is an integer number (360773595).

Almost surely, 2^49538119680 is an apocalyptic number.

49538119680 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 49538119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103902795360).

49538119680 is an abundant number, since it is smaller than the sum of its proper divisors (158267471040).

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

49538119680 is a wasteful number, since it uses less digits than its factorization.

49538119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4551 counting only the distinct ones).

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

The spelling of 49538119680 in words is "forty-nine billion, five hundred thirty-eight million, one hundred nineteen thousand, six hundred eighty".