10997339258880 has 1152 divisors, whose sum is σ = 43090330570560. Its totient is φ = 2674422448128.

The previous prime is 10997339258879. The next prime is 10997339258891. The reversal of 10997339258880 is 8885293379901.

10997339258880 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 7 + 3 + 39 + 2 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10997339258799 and 10997339258808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132498063319 + ... + 132498063401.

Almost surely, 2^{10997339258880} is an apocalyptic number.

10997339258880 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 10997339258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21545165285280).

10997339258880 is an abundant number, since it is smaller than the sum of its proper divisors (32092991311680).

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

10997339258880 is an frugal number, since it uses more digits than its factorization.

10997339258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 10997339258880 in words is "ten trillion, nine hundred ninety-seven billion, three hundred thirty-nine million, two hundred fifty-eight thousand, eight hundred eighty".