954106004880 has 1920 divisors, whose sum is σ = 4328722944000. Its totient is φ = 194011324416.

The previous prime is 954106004869. The next prime is 954106004881. The reversal of 954106004880 is 88400601459.

954106004880 is a `hidden beast` number, since 9 + 541 + 0 + 60 + 0 + 48 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (954106004881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2153737939 + ... + 2153738381.

It is an arithmetic number, because the mean of its divisors is an integer number (2254543200).

Almost surely, 2^954106004880 is an apocalyptic number.

954106004880 is a gapful number since it is divisible by the number (90) 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 954106004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164361472000).

954106004880 is an abundant number, since it is smaller than the sum of its proper divisors (3374616939120).

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

954106004880 is a wasteful number, since it uses less digits than its factorization.

954106004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 954106004880 in words is "nine hundred fifty-four billion, one hundred six million, four thousand, eight hundred eighty".