260000587238832 has 1200 divisors, whose sum is σ = 864940835799040. Its totient is φ = 75285831075840.

The previous prime is 260000587238831. The next prime is 260000587238849. The reversal of 260000587238832 is 238832785000062.

260000587238832 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 0 + 0 + 587 + 23 + 8 + 8 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (260000587238831) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 62515166769 + ... + 62515170927.

Almost surely, 2^{260000587238832} is an apocalyptic number.

260000587238832 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 260000587238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432470417899520).

260000587238832 is an abundant number, since it is smaller than the sum of its proper divisors (604940248560208).

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

260000587238832 is a wasteful number, since it uses less digits than its factorization.

260000587238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 260000587238832 in words is "two hundred sixty trillion, five hundred eighty-seven million, two hundred thirty-eight thousand, eight hundred thirty-two".