259057470672 has 640 divisors, whose sum is σ = 1006842224640. Its totient is φ = 62099136000.

The previous prime is 259057470593. The next prime is 259057470703. The reversal of 259057470672 is 276074750952.

It is a happy number.

259057470672 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 574 + 7 + 0 + 67 + 2 = 666.

It is a super-2 number, since 2×259057470672² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52321797 + ... + 52326747.

It is an arithmetic number, because the mean of its divisors is an integer number (1573190976).

Almost surely, 2^259057470672 is an apocalyptic number.

259057470672 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 259057470672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503421112320).

259057470672 is an abundant number, since it is smaller than the sum of its proper divisors (747784753968).

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

259057470672 is a wasteful number, since it uses less digits than its factorization.

259057470672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 259057470672 in words is "two hundred fifty-nine billion, fifty-seven million, four hundred seventy thousand, six hundred seventy-two".