48712039200 has 720 divisors, whose sum is σ = 199138129344. Its totient is φ = 11483596800.

The previous prime is 48712039151. The next prime is 48712039231. The reversal of 48712039200 is 293021784.

48712039200 is a `hidden beast` number, since 487 + 120 + 39 + 20 + 0 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26372677 + ... + 26374523.

Almost surely, 2^48712039200 is an apocalyptic number.

48712039200 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 48712039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99569064672).

48712039200 is an abundant number, since it is smaller than the sum of its proper divisors (150426090144).

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

48712039200 is a wasteful number, since it uses less digits than its factorization.

48712039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 48712039200 in words is "forty-eight billion, seven hundred twelve million, thirty-nine thousand, two hundred".