51060531600 has 480 divisors, whose sum is σ = 206029174400. Its totient is φ = 11906611200.

The previous prime is 51060531569. The next prime is 51060531617. The reversal of 51060531600 is 613506015.

It is a happy number.

51060531600 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 0 + 53 + 1 + 600 = 666.

51060531600 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 (27).

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, 2658030 + ... + 2677170.

Almost surely, 2^51060531600 is an apocalyptic number.

51060531600 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 51060531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103014587200).

51060531600 is an abundant number, since it is smaller than the sum of its proper divisors (154968642800).

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

51060531600 is a wasteful number, since it uses less digits than its factorization.

51060531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19200 (or 19183 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

It can be divided in two parts, 51060 and 531600, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 51060531600 in words is "fifty-one billion, sixty million, five hundred thirty-one thousand, six hundred".