255897245520 has 640 divisors, whose sum is σ = 1065188966400. Its totient is φ = 55160082432.

The previous prime is 255897245479. The next prime is 255897245551. The reversal of 255897245520 is 25542798552.

255897245520 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 9 + 72 + 45 + 520 = 666.

255897245520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66934329 + ... + 66938151.

It is an arithmetic number, because the mean of its divisors is an integer number (1664357760).

Almost surely, 2^255897245520 is an apocalyptic number.

255897245520 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 255897245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532594483200).

255897245520 is an abundant number, since it is smaller than the sum of its proper divisors (809291720880).

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

255897245520 is a wasteful number, since it uses less digits than its factorization.

255897245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 255897245520 in words is "two hundred fifty-five billion, eight hundred ninety-seven million, two hundred forty-five thousand, five hundred twenty".