10661435904 has 240 divisors, whose sum is σ = 33178001472. Its totient is φ = 2980184064.

The previous prime is 10661435849. The next prime is 10661435927. The reversal of 10661435904 is 40953416601.

It is a super-2 number, since 2×10661435904² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30202192 + ... + 30202544.

Almost surely, 2^10661435904 is an apocalyptic number.

10661435904 is a gapful number since it is divisible by the number (14) 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 10661435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589000736).

10661435904 is an abundant number, since it is smaller than the sum of its proper divisors (22516565568).

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

10661435904 is an frugal number, since it uses more digits than its factorization.

10661435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10661435904 in words is "ten billion, six hundred sixty-one million, four hundred thirty-five thousand, nine hundred four".