10597179284240 has 160 divisors (see below), whose sum is σ = 25740782484480. Its totient is φ = 4052606976000.

The previous prime is 10597179284239. The next prime is 10597179284249. The reversal of 10597179284240 is 4248297179501.

It is a happy number.

It is a super-2 number, since 2×10597179284240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10597179284240.

It is not an unprimeable number, because it can be changed into a prime (10597179284249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268596515 + ... + 268635965.

It is an arithmetic number, because the mean of its divisors is an integer number (160879890528).

Almost surely, 2^{10597179284240} is an apocalyptic number.

10597179284240 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 10597179284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870391242240).

10597179284240 is an abundant number, since it is smaller than the sum of its proper divisors (15143603200240).

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

10597179284240 is a wasteful number, since it uses less digits than its factorization.

10597179284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40801 (or 40795 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 10597179284240 in words is "ten trillion, five hundred ninety-seven billion, one hundred seventy-nine million, two hundred eighty-four thousand, two hundred forty".