51909242457600 has 1440 divisors, whose sum is σ = 207094921862400. Its totient is φ = 12311101440000.

The previous prime is 51909242457593. The next prime is 51909242457617. The reversal of 51909242457600 is 675424290915.

It is a happy number.

51909242457600 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 9 + 2 + 4 + 24 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12820260376 + ... + 12820264424.

It is an arithmetic number, because the mean of its divisors is an integer number (143815917960).

Almost surely, 2^{51909242457600} is an apocalyptic number.

51909242457600 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 51909242457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103547460931200).

51909242457600 is an abundant number, since it is smaller than the sum of its proper divisors (155185679404800).

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

51909242457600 is a wasteful number, since it uses less digits than its factorization.

51909242457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 51909242457600 in words is "fifty-one trillion, nine hundred nine billion, two hundred forty-two million, four hundred fifty-seven thousand, six hundred".