10481760000 has 540 divisors, whose sum is σ = 39222663480. Its totient is φ = 2688000000.

The previous prime is 10481759999. The next prime is 10481760017. The reversal of 10481760000 is 6718401.

It is a happy number.

10481760000 is a `hidden beast` number, since 1 + 0 + 48 + 17 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41759875 + ... + 41760125.

It is an arithmetic number, because the mean of its divisors is an integer number (72634562).

Almost surely, 2^10481760000 is an apocalyptic number.

10481760000 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 10481760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611331740).

10481760000 is an abundant number, since it is smaller than the sum of its proper divisors (28740903480).

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

10481760000 is an equidigital number, since it uses as much as digits as its factorization.

10481760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10481760000 in words is "ten billion, four hundred eighty-one million, seven hundred sixty thousand".