10259732730240 has 1280 divisors, whose sum is σ = 43106083891200. Its totient is φ = 2277051678720.

The previous prime is 10259732730217. The next prime is 10259732730271. The reversal of 10259732730240 is 4203723795201.

10259732730240 is a `hidden beast` number, since 1 + 0 + 2 + 59 + 7 + 327 + 30 + 240 = 666.

It is a super-2 number, since 2×10259732730240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1748715787 + ... + 1748721653.

It is an arithmetic number, because the mean of its divisors is an integer number (33676628040).

Almost surely, 2^{10259732730240} is an apocalyptic number.

10259732730240 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 10259732730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21553041945600).

10259732730240 is an abundant number, since it is smaller than the sum of its proper divisors (32846351160960).

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

10259732730240 is an equidigital number, since it uses as much as digits as its factorization.

10259732730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10259732730240 in words is "ten trillion, two hundred fifty-nine billion, seven hundred thirty-two million, seven hundred thirty thousand, two hundred forty".