50538816000 has 400 divisors, whose sum is σ = 188273943000. Its totient is φ = 13475635200.

The previous prime is 50538815983. The next prime is 50538816007. The reversal of 50538816000 is 61883505.

It can be written as a sum of positive squares in 4 ways, for example, as 6760786176 + 43778029824 = 82224^2 + 209232^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (50538816007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5179126 + ... + 5188874.

Almost surely, 2^50538816000 is an apocalyptic number.

50538816000 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 50538816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94136971500).

50538816000 is an abundant number, since it is smaller than the sum of its proper divisors (137735127000).

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

50538816000 is an frugal number, since it uses more digits than its factorization.

50538816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 50538816000 in words is "fifty billion, five hundred thirty-eight million, eight hundred sixteen thousand".