51184537600 has 351 divisors, whose sum is σ = 149120439591. Its totient is φ = 17375232000.

The previous prime is 51184537561. The next prime is 51184537609. The reversal of 51184537600 is 673548115.

It is a happy number.

The square root of 51184537600 is 226240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9450950656 + 41733586944 = 97216^2 + 204288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51184537609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 506777550 + ... + 506777650.

Almost surely, 2^51184537600 is an apocalyptic number.

51184537600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51184537600 is the 226240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51184537600

51184537600 is an abundant number, since it is smaller than the sum of its proper divisors (97935901991).

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

51184537600 is an equidigital number, since it uses as much as digits as its factorization.

51184537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 51184537600 in words is "fifty-one billion, one hundred eighty-four million, five hundred thirty-seven thousand, six hundred".