255004362540 has 384 divisors, whose sum is σ = 855932313600. Its totient is φ = 62797271040.

The previous prime is 255004362521. The next prime is 255004362589. The reversal of 255004362540 is 45263400552.

255004362540 is a `hidden beast` number, since 2 + 5 + 50 + 0 + 4 + 3 + 62 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255004362495 and 255004362504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155774602 + ... + 155776238.

It is an arithmetic number, because the mean of its divisors is an integer number (2228990400).

Almost surely, 2^255004362540 is an apocalyptic number.

255004362540 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 255004362540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427966156800).

255004362540 is an abundant number, since it is smaller than the sum of its proper divisors (600927951060).

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

255004362540 is a wasteful number, since it uses less digits than its factorization.

255004362540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 255004362540 in words is "two hundred fifty-five billion, four million, three hundred sixty-two thousand, five hundred forty".