10480954176 has 840 divisors, whose sum is σ = 41035053312. Its totient is φ = 2634508800.

The previous prime is 10480954153. The next prime is 10480954193. The reversal of 10480954176 is 67145908401.

10480954176 is a `hidden beast` number, since 10 + 480 + 95 + 4 + 1 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 338095281 + ... + 338095311.

Almost surely, 2^10480954176 is an apocalyptic number.

10480954176 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 10480954176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517526656).

10480954176 is an abundant number, since it is smaller than the sum of its proper divisors (30554099136).

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

10480954176 is an equidigital number, since it uses as much as digits as its factorization.

10480954176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10480954176 in words is "ten billion, four hundred eighty million, nine hundred fifty-four thousand, one hundred seventy-six".