48738009600 has 720 divisors, whose sum is σ = 209894393280. Its totient is φ = 10550476800.

The previous prime is 48738009599. The next prime is 48738009637. The reversal of 48738009600 is 690083784.

It is a happy number.

48738009600 is a `hidden beast` number, since 4 + 8 + 7 + 38 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15320010 + ... + 15323190.

Almost surely, 2^48738009600 is an apocalyptic number.

48738009600 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 48738009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104947196640).

48738009600 is an abundant number, since it is smaller than the sum of its proper divisors (161156383680).

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

48738009600 is a wasteful number, since it uses less digits than its factorization.

48738009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48738009600 in words is "forty-eight billion, seven hundred thirty-eight million, nine thousand, six hundred".