50541408000 has 1440 divisors, whose sum is σ = 211123680768. Its totient is φ = 11943936000.

The previous prime is 50541407981. The next prime is 50541408013. The reversal of 50541408000 is 80414505.

50541408000 is a `hidden beast` number, since 5 + 0 + 541 + 40 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 1365983982 + ... + 1365984018.

Almost surely, 2^50541408000 is an apocalyptic number.

50541408000 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 50541408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105561840384).

50541408000 is an abundant number, since it is smaller than the sum of its proper divisors (160582272768).

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

50541408000 is a wasteful number, since it uses less digits than its factorization.

50541408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

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

The spelling of 50541408000 in words is "fifty billion, five hundred forty-one million, four hundred eight thousand".