48812412800 has 192 divisors, whose sum is σ = 131131049040. Its totient is φ = 17879040000.

The previous prime is 48812412769. The next prime is 48812412811. The reversal of 48812412800 is 821421884.

48812412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000675 + ... + 2024925.

Almost surely, 2^48812412800 is an apocalyptic number.

48812412800 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 48812412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65565524520).

48812412800 is an abundant number, since it is smaller than the sum of its proper divisors (82318636240).

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

48812412800 is a wasteful number, since it uses less digits than its factorization.

48812412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24329 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The spelling of 48812412800 in words is "forty-eight billion, eight hundred twelve million, four hundred twelve thousand, eight hundred".