50558541902400 has 1344 divisors, whose sum is σ = 205436565504000. Its totient is φ = 10850371338240.

The previous prime is 50558541902339. The next prime is 50558541902411. The reversal of 50558541902400 is 420914585505.

50558541902400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×50558541902400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 50558541902400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3534813649 + ... + 3534827951.

Almost surely, 2^{50558541902400} is an apocalyptic number.

50558541902400 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 50558541902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102718282752000).

50558541902400 is an abundant number, since it is smaller than the sum of its proper divisors (154878023601600).

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

50558541902400 is a wasteful number, since it uses less digits than its factorization.

50558541902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 50558541902400 in words is "fifty trillion, five hundred fifty-eight billion, five hundred forty-one million, nine hundred two thousand, four hundred".