49758564960 has 864 divisors, whose sum is σ = 199205697600. Its totient is φ = 11233271808.

The previous prime is 49758564943. The next prime is 49758564967. The reversal of 49758564960 is 6946585794.

49758564960 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 8 + 564 + 9 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49758564967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250042941 + ... + 250043139.

It is an arithmetic number, because the mean of its divisors is an integer number (230562150).

Almost surely, 2^49758564960 is an apocalyptic number.

49758564960 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 49758564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99602848800).

49758564960 is an abundant number, since it is smaller than the sum of its proper divisors (149447132640).

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

49758564960 is a wasteful number, since it uses less digits than its factorization.

49758564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 49758564960 in words is "forty-nine billion, seven hundred fifty-eight million, five hundred sixty-four thousand, nine hundred sixty".