255513110040 has 192 divisors, whose sum is σ = 861585903360. Its totient is φ = 68104229760.

The previous prime is 255513110009. The next prime is 255513110087. The reversal of 255513110040 is 40011315552.

255513110040 is a `hidden beast` number, since 2 + 5 + 5 + 513 + 1 + 100 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 255513109986 and 255513110013.

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, 25723875 + ... + 25733805.

It is an arithmetic number, because the mean of its divisors is an integer number (4487426580).

Almost surely, 2^255513110040 is an apocalyptic number.

255513110040 is a gapful number since it is divisible by the number (20) 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 255513110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430792951680).

255513110040 is an abundant number, since it is smaller than the sum of its proper divisors (606072793320).

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

255513110040 is a wasteful number, since it uses less digits than its factorization.

255513110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 255513110040 its reverse (40011315552), we get a palindrome (295524425592).

The spelling of 255513110040 in words is "two hundred fifty-five billion, five hundred thirteen million, one hundred ten thousand, forty".