50001895209600 has 1536 divisors, whose sum is σ = 192097419264000. Its totient is φ = 12686517043200.

The previous prime is 50001895209499. The next prime is 50001895209601. The reversal of 50001895209600 is 690259810005.

50001895209600 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 18 + 9 + 5 + 20 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (50001895209601) 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, 81040348492 + ... + 81040349108.

It is an arithmetic number, because the mean of its divisors is an integer number (125063424000).

Almost surely, 2^{50001895209600} is an apocalyptic number.

50001895209600 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 50001895209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96048709632000).

50001895209600 is an abundant number, since it is smaller than the sum of its proper divisors (142095524054400).

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

50001895209600 is a wasteful number, since it uses less digits than its factorization.

50001895209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 50001895209600 in words is "fifty trillion, one billion, eight hundred ninety-five million, two hundred nine thousand, six hundred".