48806400000 has 624 divisors, whose sum is σ = 171999991296. Its totient is φ = 12288000000.

The previous prime is 48806399981. The next prime is 48806400017. The reversal of 48806400000 is 460884.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1190399980 + ... + 1190400020.

Almost surely, 2^48806400000 is an apocalyptic number.

48806400000 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 48806400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85999995648).

48806400000 is an abundant number, since it is smaller than the sum of its proper divisors (123193591296).

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

48806400000 is an frugal number, since it uses more digits than its factorization.

48806400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 48806400000 its reverse (460884), we get a palindrome (48806860884).

The spelling of 48806400000 in words is "forty-eight billion, eight hundred six million, four hundred thousand".