48551000400 has 960 divisors, whose sum is σ = 214971240960. Its totient is φ = 10152345600.

The previous prime is 48551000387. The next prime is 48551000401. The reversal of 48551000400 is 400015584.

It is a super-3 number, since 3×48551000400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48551000401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47551890 + ... + 47552910.

It is an arithmetic number, because the mean of its divisors is an integer number (223928376).

Almost surely, 2^48551000400 is an apocalyptic number.

48551000400 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 48551000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107485620480).

48551000400 is an abundant number, since it is smaller than the sum of its proper divisors (166420240560).

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

48551000400 is a wasteful number, since it uses less digits than its factorization.

48551000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 48551000400 its reverse (400015584), we get a palindrome (48951015984).

The spelling of 48551000400 in words is "forty-eight billion, five hundred fifty-one million, four hundred", and thus it is an aban number.