50991995289600 has 684 divisors, whose sum is σ = 183077377653924. Its totient is φ = 13567147376640.

The previous prime is 50991995289593. The next prime is 50991995289601. The reversal of 50991995289600 is 698259919905.

50991995289600 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 1 + 9 + 9 + 5 + 2 + 8 + 9 + 600 = 666.

50991995289600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4230031343616 + 46761963945984 = 2056704^2 + 6838272^2 .

It is a super-2 number, since 2×50991995289600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (50991995289601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39931084162 + ... + 39931085438.

Almost surely, 2^{50991995289600} is an apocalyptic number.

50991995289600 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 50991995289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91538688826962).

50991995289600 is an abundant number, since it is smaller than the sum of its proper divisors (132085382364324).

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

50991995289600 is an equidigital number, since it uses as much as digits as its factorization.

50991995289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 72.

The spelling of 50991995289600 in words is "fifty trillion, nine hundred ninety-one billion, nine hundred ninety-five million, two hundred eighty-nine thousand, six hundred".