108523258272000 has 4320 divisors, whose sum is σ = 489953553048960. Its totient is φ = 23681839104000.

The previous prime is 108523258271959. The next prime is 108523258272029. The reversal of 108523258272000 is 272852325801.

108523258272000 is a `hidden beast` number, since 1 + 0 + 8 + 52 + 325 + 8 + 272 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

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 479 ways as a sum of consecutive naturals, for example, 175320287691 + ... + 175320288309.

Almost surely, 2^{108523258272000} is an apocalyptic number.

108523258272000 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 108523258272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244976776524480).

108523258272000 is an abundant number, since it is smaller than the sum of its proper divisors (381430294776960).

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

108523258272000 is a wasteful number, since it uses less digits than its factorization.

108523258272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 108523258272000 in words is "one hundred eight trillion, five hundred twenty-three billion, two hundred fifty-eight million, two hundred seventy-two thousand".