50129891481600 has 3456 divisors, whose sum is σ = 224850248663040. Its totient is φ = 10423074816000.

The previous prime is 50129891481583. The next prime is 50129891481617. The reversal of 50129891481600 is 618419892105.

50129891481600 is a `hidden beast` number, since 5 + 0 + 1 + 29 + 8 + 9 + 1 + 4 + 8 + 1 + 600 = 666.

50129891481600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50129891481583) and next prime (50129891481617).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 163289548647 + ... + 163289548953.

It is an arithmetic number, because the mean of its divisors is an integer number (65060835840).

Almost surely, 2^{50129891481600} is an apocalyptic number.

50129891481600 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 50129891481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112425124331520).

50129891481600 is an abundant number, since it is smaller than the sum of its proper divisors (174720357181440).

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

50129891481600 is a wasteful number, since it uses less digits than its factorization.

50129891481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 50129891481600 in words is "fifty trillion, one hundred twenty-nine billion, eight hundred ninety-one million, four hundred eighty-one thousand, six hundred".