48360369600 has 210 divisors, whose sum is σ = 177761030304. Its totient is φ = 12896064000.

The previous prime is 48360369599. The next prime is 48360369619. The reversal of 48360369600 is 696306384.

48360369600 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 0 + 36 + 9 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 56976 + ... + 316175.

Almost surely, 2^48360369600 is an apocalyptic number.

48360369600 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 48360369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88880515152).

48360369600 is an abundant number, since it is smaller than the sum of its proper divisors (129400660704).

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

48360369600 is a wasteful number, since it uses less digits than its factorization.

48360369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373185 (or 373161 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 48360369600 in words is "forty-eight billion, three hundred sixty million, three hundred sixty-nine thousand, six hundred".