48542457600 has 1620 divisors, whose sum is σ = 226112786536. Its totient is φ = 10241925120.

The previous prime is 48542457589. The next prime is 48542457617. The reversal of 48542457600 is 675424584.

48542457600 is a `hidden beast` number, since 4 + 8 + 54 + 24 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3734035194 + ... + 3734035206.

Almost surely, 2^48542457600 is an apocalyptic number.

48542457600 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 48542457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113056393268).

48542457600 is an abundant number, since it is smaller than the sum of its proper divisors (177570328936).

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

48542457600 is an frugal number, since it uses more digits than its factorization.

48542457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 48542457600 in words is "forty-eight billion, five hundred forty-two million, four hundred fifty-seven thousand, six hundred".