10259057164320 has 288 divisors, whose sum is σ = 36363287076480. Its totient is φ = 2731406469120.

The previous prime is 10259057164303. The next prime is 10259057164339. The reversal of 10259057164320 is 2346175095201.

10259057164320 is a `hidden beast` number, since 1 + 0 + 2 + 59 + 0 + 571 + 6 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 24324196 + ... + 24742364.

It is an arithmetic number, because the mean of its divisors is an integer number (126261413460).

Almost surely, 2^{10259057164320} is an apocalyptic number.

10259057164320 is a gapful number since it is divisible by the number (10) 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 10259057164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181643538240).

10259057164320 is an abundant number, since it is smaller than the sum of its proper divisors (26104229912160).

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

10259057164320 is an equidigital number, since it uses as much as digits as its factorization.

10259057164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418830 (or 418810 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10259057164320 in words is "ten trillion, two hundred fifty-nine billion, fifty-seven million, one hundred sixty-four thousand, three hundred twenty".