48138523200 has 252 divisors, whose sum is σ = 171992112708. Its totient is φ = 12769689600.

The previous prime is 48138523189. The next prime is 48138523201. The reversal of 48138523200 is 232583184.

48138523200 is a `hidden beast` number, since 4 + 81 + 38 + 523 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7039881216 + 41098641984 = 83904^2 + 202728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48138523201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2770540 + ... + 2787860.

Almost surely, 2^48138523200 is an apocalyptic number.

48138523200 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 48138523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85996056354).

48138523200 is an abundant number, since it is smaller than the sum of its proper divisors (123853589508).

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

48138523200 is a wasteful number, since it uses less digits than its factorization.

48138523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17542 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 48138523200 in words is "forty-eight billion, one hundred thirty-eight million, five hundred twenty-three thousand, two hundred".