255531135552 has 224 divisors, whose sum is σ = 845042540544. Its totient is φ = 66204672000.

The previous prime is 255531135529. The next prime is 255531135571.

255531135552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×255531135552² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5906833 + ... + 5949935.

Almost surely, 2^255531135552 is an apocalyptic number.

255531135552 is a gapful number since it is divisible by the number (22) 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 255531135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422521270272).

255531135552 is an abundant number, since it is smaller than the sum of its proper divisors (589511404992).

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

255531135552 is a wasteful number, since it uses less digits than its factorization.

255531135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43537 (or 43527 counting only the distinct ones).

The product of its digits is 562500, while the sum is 42.

The spelling of 255531135552 in words is "two hundred fifty-five billion, five hundred thirty-one million, one hundred thirty-five thousand, five hundred fifty-two".