108953268480 has 864 divisors, whose sum is σ = 450980834304. Its totient is φ = 24670199808.

The previous prime is 108953268461. The next prime is 108953268527. The reversal of 108953268480 is 84862359801.

108953268480 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 532 + 68 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×108953268480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 354896487 + ... + 354896793.

Almost surely, 2^108953268480 is an apocalyptic number.

108953268480 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 108953268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225490417152).

108953268480 is an abundant number, since it is smaller than the sum of its proper divisors (342027565824).

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

108953268480 is an equidigital number, since it uses as much as digits as its factorization.

108953268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 108953268480 in words is "one hundred eight billion, nine hundred fifty-three million, two hundred sixty-eight thousand, four hundred eighty".