49535328960 has 672 divisors, whose sum is σ = 195710860800. Its totient is φ = 11391860736.

The previous prime is 49535328929. The next prime is 49535328967. The reversal of 49535328960 is 6982353594.

49535328960 is a `hidden beast` number, since 4 + 9 + 5 + 353 + 289 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49535328897 and 49535328906.

It is not an unprimeable number, because it can be changed into a prime (49535328967) 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, 141934866 + ... + 141935214.

It is an arithmetic number, because the mean of its divisors is an integer number (291236400).

Almost surely, 2^49535328960 is an apocalyptic number.

49535328960 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 49535328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97855430400).

49535328960 is an abundant number, since it is smaller than the sum of its proper divisors (146175531840).

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

49535328960 is a wasteful number, since it uses less digits than its factorization.

49535328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 49535328960 in words is "forty-nine billion, five hundred thirty-five million, three hundred twenty-eight thousand, nine hundred sixty".