10597315376340 has 1152 divisors, whose sum is σ = 43624016916480. Its totient is φ = 2016020275200.

The previous prime is 10597315376287. The next prime is 10597315376341. The reversal of 10597315376340 is 4367351379501.

It is a happy number.

10597315376340 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 7 + 3 + 1 + 537 + 63 + 40 = 666.

It is a super-3 number, since 3×10597315376340³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10597315376341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1155267994 + ... + 1155277166.

It is an arithmetic number, because the mean of its divisors is an integer number (37868070240).

Almost surely, 2^{10597315376340} is an apocalyptic number.

10597315376340 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 10597315376340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812008458240).

10597315376340 is an abundant number, since it is smaller than the sum of its proper divisors (33026701540140).

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

10597315376340 is a wasteful number, since it uses less digits than its factorization.

10597315376340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 10597315376340 in words is "ten trillion, five hundred ninety-seven billion, three hundred fifteen million, three hundred seventy-six thousand, three hundred forty".