259025454720 has 640 divisors, whose sum is σ = 943422480000. Its totient is φ = 67716145152.

The previous prime is 259025454719. The next prime is 259025454733. The reversal of 259025454720 is 27454520952.

259025454720 is a `hidden beast` number, since 2 + 59 + 0 + 2 + 54 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 742193106 + ... + 742193454.

It is an arithmetic number, because the mean of its divisors is an integer number (1474097625).

Almost surely, 2^259025454720 is an apocalyptic number.

259025454720 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 259025454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471711240000).

259025454720 is an abundant number, since it is smaller than the sum of its proper divisors (684397025280).

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

259025454720 is a wasteful number, since it uses less digits than its factorization.

259025454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 259025454720 in words is "two hundred fifty-nine billion, twenty-five million, four hundred fifty-four thousand, seven hundred twenty".