49877495712 has 288 divisors, whose sum is σ = 169908508224. Its totient is φ = 14224896000.

The previous prime is 49877495623. The next prime is 49877495719. The reversal of 49877495712 is 21759477894.

49877495712 is a `hidden beast` number, since 4 + 9 + 8 + 77 + 495 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 49877495712.

It is not an unprimeable number, because it can be changed into a prime (49877495719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436962 + ... + 1471262.

It is an arithmetic number, because the mean of its divisors is an integer number (589960098).

Almost surely, 2^49877495712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49877495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84954254112).

49877495712 is an abundant number, since it is smaller than the sum of its proper divisors (120031012512).

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

49877495712 is a wasteful number, since it uses less digits than its factorization.

49877495712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34354 (or 34334 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 49877495712 in words is "forty-nine billion, eight hundred seventy-seven million, four hundred ninety-five thousand, seven hundred twelve".