51275073600 has 945 divisors, whose sum is σ = 205770568773. Its totient is φ = 12521226240.

The previous prime is 51275073511. The next prime is 51275073649. The reversal of 51275073600 is 637057215.

The square root of 51275073600 is 226440.

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

51275073600 is a `hidden beast` number, since 512 + 75 + 0 + 73 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1585313856 + 49689759744 = 39816^2 + 222912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1385812782 + ... + 1385812818.

Almost surely, 2^51275073600 is an apocalyptic number.

51275073600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51275073600 is the 226440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51275073600

51275073600 is an abundant number, since it is smaller than the sum of its proper divisors (154495495173).

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

51275073600 is a wasteful number, since it uses less digits than its factorization.

51275073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Multiplying 51275073600 by its sum of digits (36), we get a square (1845902649600 = 1358640²).

51275073600 divided by its sum of digits (36) gives a square (1424307600 = 37740²).

The spelling of 51275073600 in words is "fifty-one billion, two hundred seventy-five million, seventy-three thousand, six hundred".