49521704960 has 540 divisors, whose sum is σ = 151755904188. Its totient is φ = 15458107392.

The previous prime is 49521704957. The next prime is 49521704987. The reversal of 49521704960 is 6940712594.

It can be written as a sum of positive squares in 6 ways, for example, as 8517074944 + 41004630016 = 92288^2 + 202496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 678379484 + ... + 678379556.

Almost surely, 2^49521704960 is an apocalyptic number.

49521704960 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 49521704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75877952094).

49521704960 is an abundant number, since it is smaller than the sum of its proper divisors (102234199228).

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

49521704960 is an equidigital number, since it uses as much as digits as its factorization.

49521704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 49521704960 in words is "forty-nine billion, five hundred twenty-one million, seven hundred four thousand, nine hundred sixty".