48750206400 has 1680 divisors, whose sum is σ = 226374350400. Its totient is φ = 10032906240.

The previous prime is 48750206389. The next prime is 48750206419. The reversal of 48750206400 is 460205784.

48750206400 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 0 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 447249546 + ... + 447249654.

Almost surely, 2^48750206400 is an apocalyptic number.

48750206400 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 48750206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113187175200).

48750206400 is an abundant number, since it is smaller than the sum of its proper divisors (177624144000).

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

48750206400 is a wasteful number, since it uses less digits than its factorization.

48750206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 48750206400 in words is "forty-eight billion, seven hundred fifty million, two hundred six thousand, four hundred".