10966349371572 has 384 divisors, whose sum is σ = 34820973895680. Its totient is φ = 2916476513280.

The previous prime is 10966349371559. The next prime is 10966349371573. The reversal of 10966349371572 is 27517394366901.

It is a happy number.

10966349371572 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 6 + 3 + 493 + 71 + 5 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966349371573) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283005103 + ... + 283043849.

It is an arithmetic number, because the mean of its divisors is an integer number (90679619520).

Almost surely, 2^{10966349371572} is an apocalyptic number.

10966349371572 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 10966349371572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410486947840).

10966349371572 is an abundant number, since it is smaller than the sum of its proper divisors (23854624524108).

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

10966349371572 is a wasteful number, since it uses less digits than its factorization.

10966349371572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39228 (or 39220 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 10966349371572 in words is "ten trillion, nine hundred sixty-six billion, three hundred forty-nine million, three hundred seventy-one thousand, five hundred seventy-two".