10997607135552 has 224 divisors, whose sum is σ = 29548170706944. Its totient is φ = 3609668966400.

The previous prime is 10997607135503. The next prime is 10997607135577. The reversal of 10997607135552 is 25553170679901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1970541402 + ... + 1970546982.

Almost surely, 2^{10997607135552} is an apocalyptic number.

10997607135552 is a gapful number since it is divisible by the number (12) 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 10997607135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774085353472).

10997607135552 is an abundant number, since it is smaller than the sum of its proper divisors (18550563571392).

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

10997607135552 is a wasteful number, since it uses less digits than its factorization.

10997607135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 17860500, while the sum is 60.

The spelling of 10997607135552 in words is "ten trillion, nine hundred ninety-seven billion, six hundred seven million, one hundred thirty-five thousand, five hundred fifty-two".