10752891480 has 128 divisors (see below), whose sum is σ = 35870515200. Its totient is φ = 2865234816.

The previous prime is 10752891463. The next prime is 10752891553. The reversal of 10752891480 is 8419825701.

10752891480 is a `hidden beast` number, since 10 + 75 + 2 + 8 + 91 + 480 = 666.

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 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, 1793047 + ... + 1799033.

It is an arithmetic number, because the mean of its divisors is an integer number (280238400).

Almost surely, 2^10752891480 is an apocalyptic number.

10752891480 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 10752891480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17935257600).

10752891480 is an abundant number, since it is smaller than the sum of its proper divisors (25117623720).

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

10752891480 is a wasteful number, since it uses less digits than its factorization.

10752891480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10752891480 in words is "ten billion, seven hundred fifty-two million, eight hundred ninety-one thousand, four hundred eighty".