50960576620800 has 2592 divisors, whose sum is σ = 232436979081216. Its totient is φ = 10344701952000.

The previous prime is 50960576620753. The next prime is 50960576620817. The reversal of 50960576620800 is 802667506905.

It is a happy number.

50960576620800 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 0 + 5 + 7 + 6 + 620 + 8 + 0 + 0 = 666.

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, 101313273349 + ... + 101313273851.

It is an arithmetic number, because the mean of its divisors is an integer number (89674760448).

Almost surely, 2^{50960576620800} is an apocalyptic number.

50960576620800 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 50960576620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116218489540608).

50960576620800 is an abundant number, since it is smaller than the sum of its proper divisors (181476402460416).

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

50960576620800 is a wasteful number, since it uses less digits than its factorization.

50960576620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 50960576620800 in words is "fifty trillion, nine hundred sixty billion, five hundred seventy-six million, six hundred twenty thousand, eight hundred".