110479628851200 has 3456 divisors, whose sum is σ = 489068217630720. Its totient is φ = 24186470400000.

The previous prime is 110479628851181. The next prime is 110479628851201. The reversal of 110479628851200 is 2158826974011.

110479628851200 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 7 + 9 + 628 + 8 + 5 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110479628851201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 407673907065 + ... + 407673907335.

Almost surely, 2^{110479628851200} is an apocalyptic number.

110479628851200 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 110479628851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244534108815360).

110479628851200 is an abundant number, since it is smaller than the sum of its proper divisors (378588588779520).

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

110479628851200 is a wasteful number, since it uses less digits than its factorization.

110479628851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 110479628851200 in words is "one hundred ten trillion, four hundred seventy-nine billion, six hundred twenty-eight million, eight hundred fifty-one thousand, two hundred".