49759997760 has 560 divisors, whose sum is σ = 194288054400. Its totient is φ = 11988725760.

The previous prime is 49759997719. The next prime is 49759997773. The reversal of 49759997760 is 6779995794.

49759997760 is a `hidden beast` number, since 497 + 5 + 9 + 9 + 9 + 77 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 56738442 + ... + 56739318.

Almost surely, 2^49759997760 is an apocalyptic number.

49759997760 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 49759997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97144027200).

49759997760 is an abundant number, since it is smaller than the sum of its proper divisors (144528056640).

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

49759997760 is a wasteful number, since it uses less digits than its factorization.

49759997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 72.

The spelling of 49759997760 in words is "forty-nine billion, seven hundred fifty-nine million, nine hundred ninety-seven thousand, seven hundred sixty".