10669891590400 has 729 divisors, whose sum is σ = 32529404299329. Its totient is φ = 3454420193280.

The previous prime is 10669891590383. The next prime is 10669891590439. The reversal of 10669891590400 is 409519896601.

The square root of 10669891590400 is 3266480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3841160972544 + 6828730617856 = 1959888^2 + 2613184^2 .

It is a super-2 number, since 2×10669891590400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34755347047 + ... + 34755347353.

Almost surely, 2^{10669891590400} is an apocalyptic number.

10669891590400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10669891590400 is the 3266480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10669891590400

10669891590400 is an abundant number, since it is smaller than the sum of its proper divisors (21859512708929).

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

10669891590400 is an frugal number, since it uses more digits than its factorization.

10669891590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 10669891590400 in words is "ten trillion, six hundred sixty-nine billion, eight hundred ninety-one million, five hundred ninety thousand, four hundred".