10417926960 has 480 divisors, whose sum is σ = 41671618560. Its totient is φ = 2282342400.

The previous prime is 10417926931. The next prime is 10417926971. The reversal of 10417926960 is 6962971401.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20467186 + ... + 20467694.

It is an arithmetic number, because the mean of its divisors is an integer number (86815872).

Almost surely, 2^10417926960 is an apocalyptic number.

10417926960 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 10417926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835809280).

10417926960 is an abundant number, since it is smaller than the sum of its proper divisors (31253691600).

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

10417926960 is a wasteful number, since it uses less digits than its factorization.

10417926960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10417926960 in words is "ten billion, four hundred seventeen million, nine hundred twenty-six thousand, nine hundred sixty".