10481952576 has 112 divisors (see below), whose sum is σ = 28188554240. Its totient is φ = 3436992000.

The previous prime is 10481952571. The next prime is 10481952581. The reversal of 10481952576 is 67525918401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10481952571) and next prime (10481952581).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481952571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4655451 + ... + 4657701.

It is an arithmetic number, because the mean of its divisors is an integer number (251683520).

Almost surely, 2^10481952576 is an apocalyptic number.

10481952576 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 10481952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094277120).

10481952576 is an abundant number, since it is smaller than the sum of its proper divisors (17706601664).

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

10481952576 is a wasteful number, since it uses less digits than its factorization.

10481952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 10481952576 in words is "ten billion, four hundred eighty-one million, nine hundred fifty-two thousand, five hundred seventy-six".