49786500960 has 1008 divisors, whose sum is σ = 212513196672. Its totient is φ = 10973491200.

The previous prime is 49786500949. The next prime is 49786501007. The reversal of 49786500960 is 6900568794.

49786500960 is a `hidden beast` number, since 4 + 9 + 78 + 6 + 500 + 9 + 60 = 666.

49786500960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 49786500897 and 49786500906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 177176020 + ... + 177176300.

It is an arithmetic number, because the mean of its divisors is an integer number (210826584).

Almost surely, 2^49786500960 is an apocalyptic number.

49786500960 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 49786500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106256598336).

49786500960 is an abundant number, since it is smaller than the sum of its proper divisors (162726695712).

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

49786500960 is a wasteful number, since it uses less digits than its factorization.

49786500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49786500960 in words is "forty-nine billion, seven hundred eighty-six million, five hundred thousand, nine hundred sixty".