50434249536000 has 2880 divisors, whose sum is σ = 210322097631360. Its totient is φ = 11958865920000.

The previous prime is 50434249535947. The next prime is 50434249536089. The reversal of 50434249536000 is 63594243405.

50434249536000 is a `hidden beast` number, since 5 + 0 + 4 + 34 + 2 + 4 + 9 + 5 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×50434249536000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 281755583911 + ... + 281755584089.

It is an arithmetic number, because the mean of its divisors is an integer number (73028506122).

Almost surely, 2^{50434249536000} is an apocalyptic number.

50434249536000 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 50434249536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105161048815680).

50434249536000 is an abundant number, since it is smaller than the sum of its proper divisors (159887848095360).

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

50434249536000 is an frugal number, since it uses more digits than its factorization.

50434249536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 50434249536000 in words is "fifty trillion, four hundred thirty-four billion, two hundred forty-nine million, five hundred thirty-six thousand".