259138621440 has 728 divisors, whose sum is σ = 988170168888. Its totient is φ = 64975011840.

The previous prime is 259138621429. The next prime is 259138621451. The reversal of 259138621440 is 44126831952.

259138621440 is a `hidden beast` number, since 2 + 5 + 9 + 13 + 8 + 621 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259138621429) and next prime (259138621451).

It can be written as a sum of positive squares in 4 ways, for example, as 61917364224 + 197221257216 = 248832^2 + 444096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808130 + ... + 253809150.

Almost surely, 2^259138621440 is an apocalyptic number.

259138621440 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 259138621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494085084444).

259138621440 is an abundant number, since it is smaller than the sum of its proper divisors (729031547448).

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

259138621440 is an equidigital number, since it uses as much as digits as its factorization.

259138621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 259138621440 in words is "two hundred fifty-nine billion, one hundred thirty-eight million, six hundred twenty-one thousand, four hundred forty".