48456198172800 has 3840 divisors, whose sum is σ = 215120514977280. Its totient is φ = 10607011430400.

The previous prime is 48456198172687. The next prime is 48456198172829. The reversal of 48456198172800 is 827189165484.

48456198172800 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 619 + 8 + 1 + 7 + 2 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 139643222227 + ... + 139643222573.

It is an arithmetic number, because the mean of its divisors is an integer number (56020967442).

Almost surely, 2^{48456198172800} is an apocalyptic number.

48456198172800 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 48456198172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107560257488640).

48456198172800 is an abundant number, since it is smaller than the sum of its proper divisors (166664316804480).

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

48456198172800 is a wasteful number, since it uses less digits than its factorization.

48456198172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 48456198172800 in words is "forty-eight trillion, four hundred fifty-six billion, one hundred ninety-eight million, one hundred seventy-two thousand, eight hundred".