10664293441536 has 672 divisors, whose sum is σ = 37941329410560. Its totient is φ = 2948559667200.

The previous prime is 10664293441519. The next prime is 10664293441541. The reversal of 10664293441536 is 63514439246601.

10664293441536 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 2 + 9 + 3 + 4 + 41 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10664293441536² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 335962626 + ... + 335994366.

Almost surely, 2^{10664293441536} is an apocalyptic number.

10664293441536 is a gapful number since it is divisible by the number (16) 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 10664293441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970664705280).

10664293441536 is an abundant number, since it is smaller than the sum of its proper divisors (27277035969024).

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

10664293441536 is an equidigital number, since it uses as much as digits as its factorization.

10664293441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31821 (or 31784 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 10664293441536 in words is "ten trillion, six hundred sixty-four billion, two hundred ninety-three million, four hundred forty-one thousand, five hundred thirty-six".