51135233440 has 96 divisors (see below), whose sum is σ = 122249509200. Its totient is φ = 20210688000.

The previous prime is 51135233407. The next prime is 51135233441. The reversal of 51135233440 is 4433253115.

It can be written as a sum of positive squares in 8 ways, for example, as 30030117264 + 21105116176 = 173292^2 + 145276^2 .

It is a super-2 number, since 2×51135233440² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51135233441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8739636 + ... + 8745484.

Almost surely, 2^51135233440 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 51135233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61124754600).

51135233440 is an abundant number, since it is smaller than the sum of its proper divisors (71114275760).

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

51135233440 is a wasteful number, since it uses less digits than its factorization.

51135233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 51135233440 its reverse (4433253115), we get a palindrome (55568486555).

The spelling of 51135233440 in words is "fifty-one billion, one hundred thirty-five million, two hundred thirty-three thousand, four hundred forty".