48297613200 has 120 divisors (see below), whose sum is σ = 154790161248. Its totient is φ = 12872970240.

The previous prime is 48297613171. The next prime is 48297613223. The reversal of 48297613200 is 231679284.

48297613200 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 (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718747 + ... + 2736453.

Almost surely, 2^48297613200 is an apocalyptic number.

48297613200 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 48297613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77395080624).

48297613200 is an abundant number, since it is smaller than the sum of its proper divisors (106492548048).

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

48297613200 is a wasteful number, since it uses less digits than its factorization.

48297613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 48297613200 in words is "forty-eight billion, two hundred ninety-seven million, six hundred thirteen thousand, two hundred".