51061261200 has 480 divisors, whose sum is σ = 184216780800. Its totient is φ = 12013608960.

The previous prime is 51061261189. The next prime is 51061261231. The reversal of 51061261200 is 216216015.

51061261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39922161 + ... + 39923439.

It is an arithmetic number, because the mean of its divisors is an integer number (383784960).

Almost surely, 2^51061261200 is an apocalyptic number.

51061261200 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 51061261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108390400).

51061261200 is an abundant number, since it is smaller than the sum of its proper divisors (133155519600).

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

51061261200 is a wasteful number, since it uses less digits than its factorization.

51061261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 51061261200 its reverse (216216015), we get a palindrome (51277477215).

The spelling of 51061261200 in words is "fifty-one billion, sixty-one million, two hundred sixty-one thousand, two hundred".