48019708800000 has 1584 divisors, whose sum is σ = 198961039053504. Its totient is φ = 10926489600000.

The previous prime is 48019708799987. The next prime is 48019708800017. The reversal of 48019708800000 is 880791084.

48019708800000 is a `hidden beast` number, since 480 + 1 + 97 + 0 + 8 + 80 + 0 + 0 + 0 + 0 = 666.

48019708800000 is digitally balanced in base 2, 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 (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 63100799620 + ... + 63100800380.

Almost surely, 2^{48019708800000} is an apocalyptic number.

48019708800000 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 48019708800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99480519526752).

48019708800000 is an abundant number, since it is smaller than the sum of its proper divisors (150941330253504).

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

48019708800000 is an equidigital number, since it uses as much as digits as its factorization.

48019708800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 48019708800000 in words is "forty-eight trillion, nineteen billion, seven hundred eight million, eight hundred thousand".