50845535006400 has 924 divisors, whose sum is σ = 188385327701032. Its totient is φ = 13506934394880.

The previous prime is 50845535006369. The next prime is 50845535006551. The reversal of 50845535006400 is 460053554805.

50845535006400 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 553 + 50 + 0 + 6 + 40 + 0 = 666.

50845535006400 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 29004867924 + ... + 29004869676.

Almost surely, 2^{50845535006400} is an apocalyptic number.

50845535006400 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 50845535006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94192663850516).

50845535006400 is an abundant number, since it is smaller than the sum of its proper divisors (137539792694632).

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

50845535006400 is an equidigital number, since it uses as much as digits as its factorization.

50845535006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 50845535006400 in words is "fifty trillion, eight hundred forty-five billion, five hundred thirty-five million, six thousand, four hundred".