49517157760 has 192 divisors, whose sum is σ = 138799249920. Its totient is φ = 16842276864.

The previous prime is 49517157749. The next prime is 49517157761. The reversal of 49517157760 is 6775171594.

It is a junction number, because it is equal to n+sod(n) for n = 49517157698 and 49517157707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49517157761) 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 23 ways as a sum of consecutive naturals, for example, 3976504 + ... + 3988936.

It is an arithmetic number, because the mean of its divisors is an integer number (722912760).

Almost surely, 2^49517157760 is an apocalyptic number.

49517157760 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 49517157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69399624960).

49517157760 is an abundant number, since it is smaller than the sum of its proper divisors (89282092160).

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

49517157760 is a wasteful number, since it uses less digits than its factorization.

49517157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 49517157760 in words is "forty-nine billion, five hundred seventeen million, one hundred fifty-seven thousand, seven hundred sixty".