49916684160 has 960 divisors, whose sum is σ = 212652166320. Its totient is φ = 11119804416.

The previous prime is 49916684143. The next prime is 49916684161. The reversal of 49916684160 is 6148661994.

It is a happy number.

49916684160 is a `hidden beast` number, since 499 + 1 + 66 + 84 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 49916684097 and 49916684106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49916684161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 109226652 + ... + 109227108.

Almost surely, 2^49916684160 is an apocalyptic number.

49916684160 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 49916684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326083160).

49916684160 is an abundant number, since it is smaller than the sum of its proper divisors (162735482160).

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

49916684160 is a wasteful number, since it uses less digits than its factorization.

49916684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49916684160 in words is "forty-nine billion, nine hundred sixteen million, six hundred eighty-four thousand, one hundred sixty".