48605264400 has 1440 divisors, whose sum is σ = 216443646720. Its totient is φ = 9083289600.

The previous prime is 48605264399. The next prime is 48605264423. The reversal of 48605264400 is 446250684.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 501085152 + ... + 501085248.

It is an arithmetic number, because the mean of its divisors is an integer number (150308088).

Almost surely, 2^48605264400 is an apocalyptic number.

48605264400 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 48605264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221823360).

48605264400 is an abundant number, since it is smaller than the sum of its proper divisors (167838382320).

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

48605264400 is a wasteful number, since it uses less digits than its factorization.

48605264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 48605264400 in words is "forty-eight billion, six hundred five million, two hundred sixty-four thousand, four hundred".