255528935400 has 288 divisors, whose sum is σ = 823314492000. Its totient is φ = 65557632000.

The previous prime is 255528935393. The next prime is 255528935413. The reversal of 255528935400 is 4539825552.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 255528935400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176104675 + ... + 176106125.

It is an arithmetic number, because the mean of its divisors is an integer number (2858730875).

Almost surely, 2^255528935400 is an apocalyptic number.

255528935400 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 255528935400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411657246000).

255528935400 is an abundant number, since it is smaller than the sum of its proper divisors (567785556600).

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

255528935400 is a wasteful number, since it uses less digits than its factorization.

255528935400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 255528935400 in words is "two hundred fifty-five billion, five hundred twenty-eight million, nine hundred thirty-five thousand, four hundred".