48894576972480 has 448 divisors, whose sum is σ = 177555667524480. Its totient is φ = 12660650016768.

The previous prime is 48894576972413. The next prime is 48894576972511. The reversal of 48894576972480 is 8427967549884.

It is a happy number.

48894576972480 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 4 + 5 + 7 + 69 + 72 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48894576972480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43867852 + ... + 44968628.

It is an arithmetic number, because the mean of its divisors is an integer number (396329615010).

Almost surely, 2^{48894576972480} is an apocalyptic number.

48894576972480 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 48894576972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88777833762240).

48894576972480 is an abundant number, since it is smaller than the sum of its proper divisors (128661090552000).

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

48894576972480 is a wasteful number, since it uses less digits than its factorization.

48894576972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100953 (or 1100937 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 81.

The spelling of 48894576972480 in words is "forty-eight trillion, eight hundred ninety-four billion, five hundred seventy-six million, nine hundred seventy-two thousand, four hundred eighty".