50961220800 has 336 divisors, whose sum is σ = 192075206400. Its totient is φ = 11587645440.

The previous prime is 50961220799. The next prime is 50961220813. The reversal of 50961220800 is 802216905.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6615351 + ... + 6623049.

It is an arithmetic number, because the mean of its divisors is an integer number (571652400).

Almost surely, 2^50961220800 is an apocalyptic number.

50961220800 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 50961220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96037603200).

50961220800 is an abundant number, since it is smaller than the sum of its proper divisors (141113985600).

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

50961220800 is a wasteful number, since it uses less digits than its factorization.

50961220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 50961220800 in words is "fifty billion, nine hundred sixty-one million, two hundred twenty thousand, eight hundred".