49158038160 has 800 divisors, whose sum is σ = 215608200192. Its totient is φ = 10083087360.

The previous prime is 49158038107. The next prime is 49158038183. The reversal of 49158038160 is 6183085194.

49158038160 is a `hidden beast` number, since 4 + 9 + 1 + 580 + 3 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41413087 + ... + 41414273.

Almost surely, 2^49158038160 is an apocalyptic number.

49158038160 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 49158038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107804100096).

49158038160 is an abundant number, since it is smaller than the sum of its proper divisors (166450162032).

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

49158038160 is a wasteful number, since it uses less digits than its factorization.

49158038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 49158038160 in words is "forty-nine billion, one hundred fifty-eight million, thirty-eight thousand, one hundred sixty".