10480153632 has 192 divisors, whose sum is σ = 31640232960. Its totient is φ = 3012710400.

The previous prime is 10480153571. The next prime is 10480153639. The reversal of 10480153632 is 23635108401.

It is a junction number, because it is equal to n+sod(n) for n = 10480153593 and 10480153602.

It is not an unprimeable number, because it can be changed into a prime (10480153639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117282 + ... + 1126622.

It is an arithmetic number, because the mean of its divisors is an integer number (164792880).

Almost surely, 2^10480153632 is an apocalyptic number.

10480153632 is a gapful number since it is divisible by the number (12) 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 10480153632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820116480).

10480153632 is an abundant number, since it is smaller than the sum of its proper divisors (21160079328).

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

10480153632 is a wasteful number, since it uses less digits than its factorization.

10480153632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10480153632 in words is "ten billion, four hundred eighty million, one hundred fifty-three thousand, six hundred thirty-two".