51847290000 has 1125 divisors, whose sum is σ = 215464075519. Its totient is φ = 12022560000.

The previous prime is 51847289987. The next prime is 51847290007. The reversal of 51847290000 is 9274815.

The square root of 51847290000 is 227700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4064827536 + 47782462464 = 63756^2 + 218592^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

It is not an unprimeable number, because it can be changed into a prime (51847290007) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2254229989 + ... + 2254230011.

Almost surely, 2^51847290000 is an apocalyptic number.

51847290000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51847290000 is the 227700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51847290000

51847290000 is an abundant number, since it is smaller than the sum of its proper divisors (163616785519).

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

51847290000 is a wasteful number, since it uses less digits than its factorization.

51847290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 51847290000 by its sum of digits (36), we get a square (1866502440000 = 1366200²).

51847290000 divided by its sum of digits (36) gives a square (1440202500 = 37950²).

It can be divided in two parts, 5184 and 7290000, that multiplied together give a square (37791360000 = 194400²).

The spelling of 51847290000 in words is "fifty-one billion, eight hundred forty-seven million, two hundred ninety thousand".