10461665280 has 384 divisors, whose sum is σ = 37050773760. Its totient is φ = 2498887680.

The previous prime is 10461665261. The next prime is 10461665287. The reversal of 10461665280 is 8256616401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461665287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047174 + ... + 28047546.

It is an arithmetic number, because the mean of its divisors is an integer number (96486390).

Almost surely, 2^10461665280 is an apocalyptic number.

10461665280 is a gapful number since it is divisible by the number (10) 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 10461665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525386880).

10461665280 is an abundant number, since it is smaller than the sum of its proper divisors (26589108480).

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

10461665280 is a wasteful number, since it uses less digits than its factorization.

10461665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10461665280 in words is "ten billion, four hundred sixty-one million, six hundred sixty-five thousand, two hundred eighty".