10481095680 has 704 divisors, whose sum is σ = 40112029440. Its totient is φ = 2306867200.

The previous prime is 10481095679. The next prime is 10481095687. The reversal of 10481095680 is 8659018401.

It is a tau number, because it is divible by the number of its divisors (704).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481095687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117765076 + ... + 117765164.

Almost surely, 2^10481095680 is an apocalyptic number.

10481095680 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 10481095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056014720).

10481095680 is an abundant number, since it is smaller than the sum of its proper divisors (29630933760).

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

10481095680 is a wasteful number, since it uses less digits than its factorization.

10481095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10481095680 in words is "ten billion, four hundred eighty-one million, ninety-five thousand, six hundred eighty".