48518810400 has 576 divisors, whose sum is σ = 172770192000. Its totient is φ = 11784683520.

The previous prime is 48518810369. The next prime is 48518810411. The reversal of 48518810400 is 401881584.

It is a super-2 number, since 2×48518810400² (a number of 22 digits) contains 22 as substring.

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, 251392704 + ... + 251392896.

It is an arithmetic number, because the mean of its divisors is an integer number (299948250).

Almost surely, 2^48518810400 is an apocalyptic number.

48518810400 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 48518810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86385096000).

48518810400 is an abundant number, since it is smaller than the sum of its proper divisors (124251381600).

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

48518810400 is a wasteful number, since it uses less digits than its factorization.

48518810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 48518810400 in words is "forty-eight billion, five hundred eighteen million, eight hundred ten thousand, four hundred".