10597357440000 has 1760 divisors, whose sum is σ = 41188831354880. Its totient is φ = 2687385600000.

The previous prime is 10597357439993. The next prime is 10597357440017. The reversal of 10597357440000 is 4475379501.

10597357440000 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 73 + 574 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10597357440000² (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 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, 39104639865 + ... + 39104640135.

It is an arithmetic number, because the mean of its divisors is an integer number (23402745088).

Almost surely, 2^{10597357440000} is an apocalyptic number.

10597357440000 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 10597357440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594415677440).

10597357440000 is an abundant number, since it is smaller than the sum of its proper divisors (30591473914880).

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

10597357440000 is an equidigital number, since it uses as much as digits as its factorization.

10597357440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 10597357440000 in words is "ten trillion, five hundred ninety-seven billion, three hundred fifty-seven million, four hundred forty thousand".