50815728000 has 1024 divisors, whose sum is σ = 203164416000. Its totient is φ = 12441600000.

The previous prime is 50815727969. The next prime is 50815728001. The reversal of 50815728000 is 82751805.

50815728000 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 572 + 80 + 0 + 0 = 666.

50815728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×50815728000⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50815728001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336527925 + ... + 336528075.

It is an arithmetic number, because the mean of its divisors is an integer number (198402750).

Almost surely, 2^50815728000 is an apocalyptic number.

50815728000 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 50815728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208000).

50815728000 is an abundant number, since it is smaller than the sum of its proper divisors (152348688000).

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

50815728000 is a wasteful number, since it uses less digits than its factorization.

50815728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 50815728000 in words is "fifty billion, eight hundred fifteen million, seven hundred twenty-eight thousand".