10997462766528 has 168 divisors, whose sum is σ = 36028446652640. Its totient is φ = 3141868124160.

The previous prime is 10997462766481. The next prime is 10997462766533. The reversal of 10997462766528 is 82566726479901.

10997462766528 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 74 + 6 + 27 + 6 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 50650518 + ... + 50867178.

Almost surely, 2^{10997462766528} is an apocalyptic number.

10997462766528 is a gapful number since it is divisible by the number (18) 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 10997462766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014223326320).

10997462766528 is an abundant number, since it is smaller than the sum of its proper divisors (25030983886112).

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

10997462766528 is a wasteful number, since it uses less digits than its factorization.

10997462766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229275 (or 229262 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 10997462766528 in words is "ten trillion, nine hundred ninety-seven billion, four hundred sixty-two million, seven hundred sixty-six thousand, five hundred twenty-eight".