48268785600 has 1344 divisors, whose sum is σ = 219312947200. Its totient is φ = 10077696000.

The previous prime is 48268785589. The next prime is 48268785613. The reversal of 48268785600 is 658786284.

48268785600 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 8 + 78 + 560 + 0 = 666.

48268785600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178113465 + ... + 178113735.

Almost surely, 2^48268785600 is an apocalyptic number.

48268785600 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 48268785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109656473600).

48268785600 is an abundant number, since it is smaller than the sum of its proper divisors (171044161600).

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

48268785600 is a wasteful number, since it uses less digits than its factorization.

48268785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 48268785600 in words is "forty-eight billion, two hundred sixty-eight million, seven hundred eighty-five thousand, six hundred".