51463522345200 has 480 divisors, whose sum is σ = 196832065512960. Its totient is φ = 11245011456000.

The previous prime is 51463522345121. The next prime is 51463522345211. The reversal of 51463522345200 is 254322536415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23557747 + ... + 25649453.

It is an arithmetic number, because the mean of its divisors is an integer number (410066803152).

Almost surely, 2^{51463522345200} is an apocalyptic number.

51463522345200 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 51463522345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98416032756480).

51463522345200 is an abundant number, since it is smaller than the sum of its proper divisors (145368543167760).

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

51463522345200 is a wasteful number, since it uses less digits than its factorization.

51463522345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091865 (or 2091854 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 51463522345200 in words is "fifty-one trillion, four hundred sixty-three billion, five hundred twenty-two million, three hundred forty-five thousand, two hundred".