48969500590080 has 3024 divisors, whose sum is σ = 224978332750080. Its totient is φ = 9980161818624.

The previous prime is 48969500590051. The next prime is 48969500590111. The reversal of 48969500590080 is 8009500596984.

48969500590080 is a `hidden beast` number, since 48 + 9 + 6 + 9 + 500 + 5 + 9 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 2577342136311 + ... + 2577342136329.

Almost surely, 2^{48969500590080} is an apocalyptic number.

48969500590080 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 48969500590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112489166375040).

48969500590080 is an abundant number, since it is smaller than the sum of its proper divisors (176008832160000).

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

48969500590080 is an frugal number, since it uses more digits than its factorization.

48969500590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 48969500590080 in words is "forty-eight trillion, nine hundred sixty-nine billion, five hundred million, five hundred ninety thousand, eighty".