255796697520 has 2400 divisors, whose sum is σ = 1238154086400. Its totient is φ = 47512977408.

The previous prime is 255796697483. The next prime is 255796697593. The reversal of 255796697520 is 25796697552.

255796697520 is a `hidden beast` number, since 2 + 5 + 579 + 6 + 6 + 9 + 7 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3237932841 + ... + 3237932919.

It is an arithmetic number, because the mean of its divisors is an integer number (515897536).

Almost surely, 2^255796697520 is an apocalyptic number.

255796697520 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 255796697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619077043200).

255796697520 is an abundant number, since it is smaller than the sum of its proper divisors (982357388880).

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

255796697520 is a wasteful number, since it uses less digits than its factorization.

255796697520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 255796697520 in words is "two hundred fifty-five billion, seven hundred ninety-six million, six hundred ninety-seven thousand, five hundred twenty".