55538406000 has 1920 divisors, whose sum is σ = 268859934720. Its totient is φ = 10637568000.

The previous prime is 55538405999. The next prime is 55538406017. The reversal of 55538406000 is 60483555.

55538406000 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 8 + 40 + 600 + 0 = 666.

55538406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1501037982 + ... + 1501038018.

It is an arithmetic number, because the mean of its divisors is an integer number (140031216).

Almost surely, 2^55538406000 is an apocalyptic number.

55538406000 is a gapful number since it is divisible by the number (50) 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 55538406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134429967360).

55538406000 is an abundant number, since it is smaller than the sum of its proper divisors (213321528720).

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

55538406000 is a wasteful number, since it uses less digits than its factorization.

55538406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 55538406000 its reverse (60483555), we get a palindrome (55598889555).

The spelling of 55538406000 in words is "fifty-five billion, five hundred thirty-eight million, four hundred six thousand".