51452124514560 has 3456 divisors, whose sum is σ = 248775141888000. Its totient is φ = 10058545889280.

The previous prime is 51452124514529. The next prime is 51452124514631. The reversal of 51452124514560 is 6541542125415.

51452124514560 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 2 + 124 + 514 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×51452124514560² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19950415351 + ... + 19950417929.

It is an arithmetic number, because the mean of its divisors is an integer number (71983548000).

Almost surely, 2^{51452124514560} 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 51452124514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124387570944000).

51452124514560 is an abundant number, since it is smaller than the sum of its proper divisors (197323017373440).

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

51452124514560 is a wasteful number, since it uses less digits than its factorization.

51452124514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

Adding to 51452124514560 its reverse (6541542125415), we get a palindrome (57993666639975).

The spelling of 51452124514560 in words is "fifty-one trillion, four hundred fifty-two billion, one hundred twenty-four million, five hundred fourteen thousand, five hundred sixty".