48277540089504 has 576 divisors, whose sum is σ = 158471691840000. Its totient is φ = 14281647114240.

The previous prime is 48277540089491. The next prime is 48277540089593. The reversal of 48277540089504 is 40598004577284.

It is a happy number.

48277540089504 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 7 + 5 + 40 + 0 + 89 + 504 = 666.

48277540089504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1950674122 + ... + 1950698870.

It is an arithmetic number, because the mean of its divisors is an integer number (275124465000).

Almost surely, 2^{48277540089504} is an apocalyptic number.

48277540089504 is a gapful number since it is divisible by the number (44) 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 48277540089504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79235845920000).

48277540089504 is an abundant number, since it is smaller than the sum of its proper divisors (110194151750496).

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

48277540089504 is a wasteful number, since it uses less digits than its factorization.

48277540089504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25234 (or 25209 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 48277540089504 in words is "forty-eight trillion, two hundred seventy-seven billion, five hundred forty million, eighty-nine thousand, five hundred four".