10460648880 has 640 divisors, whose sum is σ = 41173079040. Its totient is φ = 2418647040.

The previous prime is 10460648851. The next prime is 10460648903. The reversal of 10460648880 is 8884606401.

10460648880 is a `hidden beast` number, since 104 + 60 + 6 + 488 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 64175679 + ... + 64175841.

It is an arithmetic number, because the mean of its divisors is an integer number (64332936).

Almost surely, 2^10460648880 is an apocalyptic number.

10460648880 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 10460648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586539520).

10460648880 is an abundant number, since it is smaller than the sum of its proper divisors (30712430160).

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

10460648880 is a wasteful number, since it uses less digits than its factorization.

10460648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10460648880 in words is "ten billion, four hundred sixty million, six hundred forty-eight thousand, eight hundred eighty".