49291130880 has 768 divisors, whose sum is σ = 185678438400. Its totient is φ = 12541132800.

The previous prime is 49291130839. The next prime is 49291130887. The reversal of 49291130880 is 8803119294.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49291130887) 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 63 ways as a sum of consecutive naturals, for example, 694241245 + ... + 694241315.

It is an arithmetic number, because the mean of its divisors is an integer number (241768800).

Almost surely, 2^49291130880 is an apocalyptic number.

49291130880 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 49291130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92839219200).

49291130880 is an abundant number, since it is smaller than the sum of its proper divisors (136387307520).

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

49291130880 is an frugal number, since it uses more digits than its factorization.

49291130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 49291130880 in words is "forty-nine billion, two hundred ninety-one million, one hundred thirty thousand, eight hundred eighty".