49983495840 has 288 divisors, whose sum is σ = 175160905920. Its totient is φ = 12972331008.

The previous prime is 49983495839. The next prime is 49983495847. The reversal of 49983495840 is 4859438994.

49983495840 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 3 + 49 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49983495847) 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, 19379671 + ... + 19382249.

It is an arithmetic number, because the mean of its divisors is an integer number (608197590).

Almost surely, 2^49983495840 is an apocalyptic number.

49983495840 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 49983495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87580452960).

49983495840 is an abundant number, since it is smaller than the sum of its proper divisors (125177410080).

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

49983495840 is a wasteful number, since it uses less digits than its factorization.

49983495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49983495840 in words is "forty-nine billion, nine hundred eighty-three million, four hundred ninety-five thousand, eight hundred forty".