48751718400 has 1248 divisors, whose sum is σ = 224263027200. Its totient is φ = 10085990400.

The previous prime is 48751718377. The next prime is 48751718437. The reversal of 48751718400 is 481715784.

48751718400 is a `hidden beast` number, since 4 + 8 + 75 + 171 + 8 + 400 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212889486 + ... + 212889714.

Almost surely, 2^48751718400 is an apocalyptic number.

48751718400 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 48751718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112131513600).

48751718400 is an abundant number, since it is smaller than the sum of its proper divisors (175511308800).

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

48751718400 is a wasteful number, since it uses less digits than its factorization.

48751718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 48751718400 in words is "forty-eight billion, seven hundred fifty-one million, seven hundred eighteen thousand, four hundred".