48752539200 has 420 divisors, whose sum is σ = 180842236740. Its totient is φ = 12881756160.

The previous prime is 48752539181. The next prime is 48752539201. The reversal of 48752539200 is 293525784.

48752539200 is a `hidden beast` number, since 48 + 7 + 52 + 539 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12182861376 + 36569677824 = 110376^2 + 191232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48752539201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14643136 + ... + 14646464.

Almost surely, 2^48752539200 is an apocalyptic number.

48752539200 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 48752539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90421118370).

48752539200 is an abundant number, since it is smaller than the sum of its proper divisors (132089697540).

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

48752539200 is a wasteful number, since it uses less digits than its factorization.

48752539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 48752539200 in words is "forty-eight billion, seven hundred fifty-two million, five hundred thirty-nine thousand, two hundred".