51535151343200 has 288 divisors, whose sum is σ = 145300920145920. Its totient is φ = 17482897152000.

The previous prime is 51535151343041. The next prime is 51535151343227. The reversal of 51535151343200 is 234315153515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895316021 + ... + 895373579.

It is an arithmetic number, because the mean of its divisors is an integer number (504517083840).

Almost surely, 2^{51535151343200} is an apocalyptic number.

51535151343200 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 51535151343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72650460072960).

51535151343200 is an abundant number, since it is smaller than the sum of its proper divisors (93765768802720).

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

51535151343200 is a wasteful number, since it uses less digits than its factorization.

51535151343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59270 (or 59257 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

Adding to 51535151343200 its reverse (234315153515), we get a palindrome (51769466496715).

The spelling of 51535151343200 in words is "fifty-one trillion, five hundred thirty-five billion, one hundred fifty-one million, three hundred forty-three thousand, two hundred".