51946272000 has 1080 divisors, whose sum is σ = 225418513320. Its totient is φ = 11844403200.

The previous prime is 51946271987. The next prime is 51946272029. The reversal of 51946272000 is 27264915.

51946272000 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 627 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 51896484864 = 7056^2 + 227808^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127007796 + ... + 127008204.

Almost surely, 2^51946272000 is an apocalyptic number.

51946272000 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 51946272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112709256660).

51946272000 is an abundant number, since it is smaller than the sum of its proper divisors (173472241320).

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

51946272000 is an equidigital number, since it uses as much as digits as its factorization.

51946272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51946272000 in words is "fifty-one billion, nine hundred forty-six million, two hundred seventy-two thousand".