50001868800 has 864 divisors, whose sum is σ = 204608935440. Its totient is φ = 11560550400.

The previous prime is 50001868793. The next prime is 50001868801. The reversal of 50001868800 is 886810005.

50001868800 is a `hidden beast` number, since 500 + 0 + 18 + 68 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50001868801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101836555 + ... + 101837045.

Almost surely, 2^50001868800 is an apocalyptic number.

50001868800 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 50001868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102304467720).

50001868800 is an abundant number, since it is smaller than the sum of its proper divisors (154607066640).

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

50001868800 is a wasteful number, since it uses less digits than its factorization.

50001868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 50001868800 in words is "fifty billion, one million, eight hundred sixty-eight thousand, eight hundred".