10485632640 has 256 divisors, whose sum is σ = 40445464320. Its totient is φ = 2255683584.

The previous prime is 10485632629. The next prime is 10485632653. The reversal of 10485632640 is 4623658401.

It is a super-2 number, since 2×10485632640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205534 + ... + 251426.

It is an arithmetic number, because the mean of its divisors is an integer number (157990095).

Almost surely, 2^10485632640 is an apocalyptic number.

10485632640 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 10485632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222732160).

10485632640 is an abundant number, since it is smaller than the sum of its proper divisors (29959831680).

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

10485632640 is a wasteful number, since it uses less digits than its factorization.

10485632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45939 (or 45927 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 10485632640 in words is "ten billion, four hundred eighty-five million, six hundred thirty-two thousand, six hundred forty".