51415544344320 has 1728 divisors, whose sum is σ = 221435589473280. Its totient is φ = 11284439629824.

The previous prime is 51415544344309. The next prime is 51415544344331. The reversal of 51415544344320 is 2344344551415.

51415544344320 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 554 + 4 + 34 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (51415544344309) and next prime (51415544344331).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306037277 + ... + 1306076643.

It is an arithmetic number, because the mean of its divisors is an integer number (128145595760).

Almost surely, 2^{51415544344320} 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 51415544344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110717794736640).

51415544344320 is an abundant number, since it is smaller than the sum of its proper divisors (170020045128960).

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

51415544344320 is a wasteful number, since it uses less digits than its factorization.

51415544344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39452 (or 39426 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 51415544344320 its reverse (2344344551415), we get a palindrome (53759888895735).

The spelling of 51415544344320 in words is "fifty-one trillion, four hundred fifteen billion, five hundred forty-four million, three hundred forty-four thousand, three hundred twenty".