51387326808500 has 576 divisors, whose sum is σ = 124429839206400. Its totient is φ = 18496429056000.

The previous prime is 51387326808491. The next prime is 51387326808509. The reversal of 51387326808500 is 580862378315.

51387326808500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51387326808491) and next prime (51387326808509).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51387326808509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69536301131 + ... + 69536301869.

It is an arithmetic number, because the mean of its divisors is an integer number (216024026400).

Almost surely, 2^{51387326808500} is an apocalyptic number.

51387326808500 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 51387326808500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62214919603200).

51387326808500 is an abundant number, since it is smaller than the sum of its proper divisors (73042512397900).

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

51387326808500 is a wasteful number, since it uses less digits than its factorization.

51387326808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 51387326808500 in words is "fifty-one trillion, three hundred eighty-seven billion, three hundred twenty-six million, eight hundred eight thousand, five hundred".