51120201261600 has 216 divisors, whose sum is σ = 180399309330240. Its totient is φ = 13621715996160.

The previous prime is 51120201261559. The next prime is 51120201261607. The reversal of 51120201261600 is 616210202115.

51120201261600 is a `hidden beast` number, since 5 + 1 + 1 + 20 + 20 + 1 + 2 + 616 + 0 + 0 = 666.

It is a super-2 number, since 2×51120201261600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51120201261607) 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, 6805357 + ... + 12188243.

It is an arithmetic number, because the mean of its divisors is an integer number (835181987640).

Almost surely, 2^{51120201261600} is an apocalyptic number.

51120201261600 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 51120201261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199654665120).

51120201261600 is an abundant number, since it is smaller than the sum of its proper divisors (129279108068640).

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

51120201261600 is a wasteful number, since it uses less digits than its factorization.

51120201261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384232 (or 5384216 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 51120201261600 its reverse (616210202115), we get a palindrome (51736411463715).

The spelling of 51120201261600 in words is "fifty-one trillion, one hundred twenty billion, two hundred one million, two hundred sixty-one thousand, six hundred".