49828331520 has 416 divisors, whose sum is σ = 193273525440. Its totient is φ = 12079595520.

The previous prime is 49828331489. The next prime is 49828331537. The reversal of 49828331520 is 2513382894.

49828331520 is a `hidden beast` number, since 4 + 98 + 2 + 8 + 3 + 31 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4529848315 + ... + 4529848325.

Almost surely, 2^49828331520 is an apocalyptic number.

49828331520 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 49828331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636762720).

49828331520 is an abundant number, since it is smaller than the sum of its proper divisors (143445193920).

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

49828331520 is an frugal number, since it uses more digits than its factorization.

49828331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49828331520 in words is "forty-nine billion, eight hundred twenty-eight million, three hundred thirty-one thousand, five hundred twenty".