51290288640 has 800 divisors, whose sum is σ = 193933301760. Its totient is φ = 12939264000.

The previous prime is 51290288611. The next prime is 51290288641. The reversal of 51290288640 is 4688209215.

51290288640 is a `hidden beast` number, since 512 + 90 + 2 + 8 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51290288641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 507824590 + ... + 507824690.

Almost surely, 2^51290288640 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 51290288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96966650880).

51290288640 is an abundant number, since it is smaller than the sum of its proper divisors (142643013120).

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

51290288640 is a wasteful number, since it uses less digits than its factorization.

51290288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51290288640 in words is "fifty-one billion, two hundred ninety million, two hundred eighty-eight thousand, six hundred forty".