49095516960 has 384 divisors, whose sum is σ = 198877593600. Its totient is φ = 11079244800.

The previous prime is 49095516959. The next prime is 49095516991. The reversal of 49095516960 is 6961559094.

49095516960 is a `hidden beast` number, since 490 + 9 + 55 + 16 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49095516897 and 49095516906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2378685 + ... + 2399235.

It is an arithmetic number, because the mean of its divisors is an integer number (517910400).

Almost surely, 2^49095516960 is an apocalyptic number.

49095516960 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 49095516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99438796800).

49095516960 is an abundant number, since it is smaller than the sum of its proper divisors (149782076640).

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

49095516960 is a wasteful number, since it uses less digits than its factorization.

49095516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20661 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 49095516960 in words is "forty-nine billion, ninety-five million, five hundred sixteen thousand, nine hundred sixty".