50056590448800 has 1152 divisors, whose sum is σ = 197694996710400. Its totient is φ = 12149451325440.

The previous prime is 50056590448793. The next prime is 50056590448807. The reversal of 50056590448800 is 884409565005.

50056590448800 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 6 + 590 + 4 + 48 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50056590448793) and next prime (50056590448807).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (50056590448807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32232188824 + ... + 32232190376.

It is an arithmetic number, because the mean of its divisors is an integer number (171610240200).

Almost surely, 2^{50056590448800} is an apocalyptic number.

50056590448800 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 50056590448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847498355200).

50056590448800 is an abundant number, since it is smaller than the sum of its proper divisors (147638406261600).

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

50056590448800 is a wasteful number, since it uses less digits than its factorization.

50056590448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 50056590448800 in words is "fifty trillion, fifty-six billion, five hundred ninety million, four hundred forty-eight thousand, eight hundred".