10751448960 has 384 divisors, whose sum is σ = 42882840000. Its totient is φ = 2431254528.

The previous prime is 10751448959. The next prime is 10751448997. The reversal of 10751448960 is 6984415701.

10751448960 is a `hidden beast` number, since 1 + 0 + 7 + 514 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3909666 + ... + 3912414.

Almost surely, 2^10751448960 is an apocalyptic number.

10751448960 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 10751448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441420000).

10751448960 is an abundant number, since it is smaller than the sum of its proper divisors (32131391040).

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

10751448960 is a wasteful number, since it uses less digits than its factorization.

10751448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2863 counting only the distinct ones).

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

The spelling of 10751448960 in words is "ten billion, seven hundred fifty-one million, four hundred forty-eight thousand, nine hundred sixty".