51540452514120 has 512 divisors, whose sum is σ = 174051887616000. Its totient is φ = 12132859576320.

The previous prime is 51540452514107. The next prime is 51540452514149. The reversal of 51540452514120 is 2141525404515.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4252857421 + ... + 4252869539.

It is an arithmetic number, because the mean of its divisors is an integer number (339945093000).

Almost surely, 2^{51540452514120} 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 51540452514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87025943808000).

51540452514120 is an abundant number, since it is smaller than the sum of its proper divisors (122511435101880).

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

51540452514120 is a wasteful number, since it uses less digits than its factorization.

51540452514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13253 (or 13249 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

Adding to 51540452514120 its reverse (2141525404515), we get a palindrome (53681977918635).

The spelling of 51540452514120 in words is "fifty-one trillion, five hundred forty billion, four hundred fifty-two million, five hundred fourteen thousand, one hundred twenty".