110328552142380 has 1152 divisors, whose sum is σ = 418338218833920. Its totient is φ = 23797434009600.

The previous prime is 110328552142339. The next prime is 110328552142399. The reversal of 110328552142380 is 83241255823011.

110328552142380 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 2 + 8 + 5 + 521 + 42 + 3 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19516811634 + ... + 19516817286.

It is an arithmetic number, because the mean of its divisors is an integer number (363140814960).

Almost surely, 2^{110328552142380} is an apocalyptic number.

110328552142380 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 110328552142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209169109416960).

110328552142380 is an abundant number, since it is smaller than the sum of its proper divisors (308009666691540).

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

110328552142380 is a wasteful number, since it uses less digits than its factorization.

110328552142380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 110328552142380 in words is "one hundred ten trillion, three hundred twenty-eight billion, five hundred fifty-two million, one hundred forty-two thousand, three hundred eighty".