48360499200 has 1296 divisors, whose sum is σ = 202945448160. Its totient is φ = 11386552320.

The previous prime is 48360499183. The next prime is 48360499217. The reversal of 48360499200 is 299406384.

48360499200 is a `hidden beast` number, since 4 + 83 + 60 + 499 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48360499183) and next prime (48360499217).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2102630389 + ... + 2102630411.

It is an arithmetic number, because the mean of its divisors is an integer number (156593710).

Almost surely, 2^48360499200 is an apocalyptic number.

48360499200 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 48360499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101472724080).

48360499200 is an abundant number, since it is smaller than the sum of its proper divisors (154584948960).

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

48360499200 is a wasteful number, since it uses less digits than its factorization.

48360499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 48360499200 in words is "forty-eight billion, three hundred sixty million, four hundred ninety-nine thousand, two hundred".