48002875200 has 252 divisors, whose sum is σ = 194987326560. Its totient is φ = 10972062720.

The previous prime is 48002875183. The next prime is 48002875201. The reversal of 48002875200 is 257820084.

It is a happy number.

48002875200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48002875201) 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, 137310 + ... + 338909.

Almost surely, 2^48002875200 is an apocalyptic number.

48002875200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48002875200 is an abundant number, since it is smaller than the sum of its proper divisors (146984451360).

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

48002875200 is a wasteful number, since it uses less digits than its factorization.

48002875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476254 (or 476236 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48002875200 in words is "forty-eight billion, two million, eight hundred seventy-five thousand, two hundred".