51526803456 has 560 divisors, whose sum is σ = 167151161760. Its totient is φ = 15765995520.

The previous prime is 51526803451. The next prime is 51526803473. The reversal of 51526803456 is 65430862515.

51526803456 is a `hidden beast` number, since 5 + 1 + 526 + 80 + 3 + 45 + 6 = 666.

It is a super-2 number, since 2×51526803456² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51526803451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769056735 + ... + 769056801.

Almost surely, 2^51526803456 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 51526803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83575580880).

51526803456 is an abundant number, since it is smaller than the sum of its proper divisors (115624358304).

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

51526803456 is an equidigital number, since it uses as much as digits as its factorization.

51526803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 51526803456 in words is "fifty-one billion, five hundred twenty-six million, eight hundred three thousand, four hundred fifty-six".