51250095360 has 288 divisors, whose sum is σ = 191441040000. Its totient is φ = 12947226624.

The previous prime is 51250095331. The next prime is 51250095389. The reversal of 51250095360 is 6359005215.

51250095360 is a `hidden beast` number, since 5 + 1 + 2 + 500 + 95 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (51250095331) and next prime (51250095389).

It is a tau number, because it is divible by the number of its divisors (288).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617616 + ... + 695664.

Almost surely, 2^51250095360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51250095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95720520000).

51250095360 is an abundant number, since it is smaller than the sum of its proper divisors (140190944640).

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

51250095360 is a wasteful number, since it uses less digits than its factorization.

51250095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78098 (or 78078 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 51250095360 in words is "fifty-one billion, two hundred fifty million, ninety-five thousand, three hundred sixty".