49753446960 has 320 divisors, whose sum is σ = 178998543360. Its totient is φ = 11197132800.

The previous prime is 49753446937. The next prime is 49753446961. The reversal of 49753446960 is 6964435794.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49753446960.

It is not an unprimeable number, because it can be changed into a prime (49753446961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70974610 + ... + 70975310.

It is an arithmetic number, because the mean of its divisors is an integer number (559370448).

Almost surely, 2^49753446960 is an apocalyptic number.

49753446960 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 49753446960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89499271680).

49753446960 is an abundant number, since it is smaller than the sum of its proper divisors (129245096400).

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

49753446960 is a wasteful number, since it uses less digits than its factorization.

49753446960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 49753446960 in words is "forty-nine billion, seven hundred fifty-three million, four hundred forty-six thousand, nine hundred sixty".