49556810160 has 960 divisors, whose sum is σ = 216202162176. Its totient is φ = 9975398400.

The previous prime is 49556810129. The next prime is 49556810201. The reversal of 49556810160 is 6101865594.

49556810160 is a `hidden beast` number, since 4 + 9 + 556 + 81 + 0 + 16 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40256745 + ... + 40257975.

Almost surely, 2^49556810160 is an apocalyptic number.

49556810160 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 49556810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108101081088).

49556810160 is an abundant number, since it is smaller than the sum of its proper divisors (166645352016).

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

49556810160 is a wasteful number, since it uses less digits than its factorization.

49556810160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 49556810160 in words is "forty-nine billion, five hundred fifty-six million, eight hundred ten thousand, one hundred sixty".