48880472371200 has 1248 divisors, whose sum is σ = 186990268315200. Its totient is φ = 12506628096000.

The previous prime is 48880472371169. The next prime is 48880472371219. The reversal of 48880472371200 is 217327408884.

48880472371200 is a `hidden beast` number, since 4 + 8 + 8 + 80 + 472 + 3 + 71 + 20 + 0 = 666.

48880472371200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6914761266 + ... + 6914768334.

Almost surely, 2^{48880472371200} is an apocalyptic number.

48880472371200 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 48880472371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93495134157600).

48880472371200 is an abundant number, since it is smaller than the sum of its proper divisors (138109795944000).

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

48880472371200 is a wasteful number, since it uses less digits than its factorization.

48880472371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 48880472371200 in words is "forty-eight trillion, eight hundred eighty billion, four hundred seventy-two million, three hundred seventy-one thousand, two hundred".