48316810800 has 480 divisors, whose sum is σ = 166149365760. Its totient is φ = 11980800000.

The previous prime is 48316810781. The next prime is 48316810819. The reversal of 48316810800 is 801861384.

It is an interprime number because it is at equal distance from previous prime (48316810781) and next prime (48316810819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120490600 + ... + 120491000.

It is an arithmetic number, because the mean of its divisors is an integer number (346144512).

Almost surely, 2^48316810800 is an apocalyptic number.

48316810800 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 48316810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83074682880).

48316810800 is an abundant number, since it is smaller than the sum of its proper divisors (117832554960).

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

48316810800 is a wasteful number, since it uses less digits than its factorization.

48316810800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 48316810800 in words is "forty-eight billion, three hundred sixteen million, eight hundred ten thousand, eight hundred".