48785457600 has 1512 divisors, whose sum is σ = 212707417104. Its totient is φ = 10948608000.

The previous prime is 48785457599. The next prime is 48785457629. The reversal of 48785457600 is 675458784.

48785457600 is a `hidden beast` number, since 487 + 8 + 54 + 57 + 60 + 0 = 666.

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 799761570 + ... + 799761630.

Almost surely, 2^48785457600 is an apocalyptic number.

48785457600 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 48785457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106353708552).

48785457600 is an abundant number, since it is smaller than the sum of its proper divisors (163921959504).

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

48785457600 is a wasteful number, since it uses less digits than its factorization.

48785457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 48785457600 in words is "forty-eight billion, seven hundred eighty-five million, four hundred fifty-seven thousand, six hundred".