48881714526720 has 960 divisors, whose sum is σ = 186590187463680. Its totient is φ = 12222033297408.

The previous prime is 48881714526709. The next prime is 48881714526727. The reversal of 48881714526720 is 2762541718884.

48881714526720 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 171 + 452 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (48881714526727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2844763249 + ... + 2844780431.

It is an arithmetic number, because the mean of its divisors is an integer number (194364778608).

Almost surely, 2^{48881714526720} is an apocalyptic number.

48881714526720 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 48881714526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93295093731840).

48881714526720 is an abundant number, since it is smaller than the sum of its proper divisors (137708472936960).

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

48881714526720 is a wasteful number, since it uses less digits than its factorization.

48881714526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507 (or 17479 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 48881714526720 in words is "forty-eight trillion, eight hundred eighty-one billion, seven hundred fourteen million, five hundred twenty-six thousand, seven hundred twenty".