10952421480 has 960 divisors, whose sum is σ = 49962971520. Its totient is φ = 2093921280.

The previous prime is 10952421443. The next prime is 10952421577. The reversal of 10952421480 is 8412425901.

10952421480 is a `hidden beast` number, since 109 + 52 + 4 + 21 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 35675487 + ... + 35675793.

It is an arithmetic number, because the mean of its divisors is an integer number (52044762).

Almost surely, 2^10952421480 is an apocalyptic number.

10952421480 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 10952421480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24981485760).

10952421480 is an abundant number, since it is smaller than the sum of its proper divisors (39010550040).

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

10952421480 is a wasteful number, since it uses less digits than its factorization.

10952421480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10952421480 in words is "ten billion, nine hundred fifty-two million, four hundred twenty-one thousand, four hundred eighty".