49483260288 has 896 divisors, whose sum is σ = 188794851840. Its totient is φ = 12541132800.

The previous prime is 49483260287. The next prime is 49483260311. The reversal of 49483260288 is 88206238494.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49483260283) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 510136656 + ... + 510136752.

It is an arithmetic number, because the mean of its divisors is an integer number (210708540).

Almost surely, 2^49483260288 is an apocalyptic number.

49483260288 is a gapful number since it is divisible by the number (48) 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 49483260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94397425920).

49483260288 is an abundant number, since it is smaller than the sum of its proper divisors (139311591552).

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

49483260288 is an equidigital number, since it uses as much as digits as its factorization.

49483260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 49483260288 in words is "forty-nine billion, four hundred eighty-three million, two hundred sixty thousand, two hundred eighty-eight".