48403275148800 has 1920 divisors, whose sum is σ = 213587024555520. Its totient is φ = 10579142246400.

The previous prime is 48403275148759. The next prime is 48403275148807. The reversal of 48403275148800 is 884157230484.

48403275148800 is a `hidden beast` number, since 4 + 8 + 40 + 3 + 2 + 7 + 514 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48403275148807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2125083012 + ... + 2125105788.

It is an arithmetic number, because the mean of its divisors is an integer number (111243241956).

Almost surely, 2^{48403275148800} is an apocalyptic number.

48403275148800 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 48403275148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106793512277760).

48403275148800 is an abundant number, since it is smaller than the sum of its proper divisors (165183749406720).

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

48403275148800 is a wasteful number, since it uses less digits than its factorization.

48403275148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22881 (or 22854 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 48403275148800 in words is "forty-eight trillion, four hundred three billion, two hundred seventy-five million, one hundred forty-eight thousand, eight hundred".