110920780890400 has 576 divisors, whose sum is σ = 297745718054400. Its totient is φ = 40342842408960.

The previous prime is 110920780890389. The next prime is 110920780890449. The reversal of 110920780890400 is 4098087029011.

It is a super-2 number, since 2×110920780890400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93446318607 + ... + 93446319793.

It is an arithmetic number, because the mean of its divisors is an integer number (516919649400).

Almost surely, 2^{110920780890400} is an apocalyptic number.

110920780890400 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 110920780890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148872859027200).

110920780890400 is an abundant number, since it is smaller than the sum of its proper divisors (186824937164000).

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

110920780890400 is a wasteful number, since it uses less digits than its factorization.

110920780890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The spelling of 110920780890400 in words is "one hundred ten trillion, nine hundred twenty billion, seven hundred eighty million, eight hundred ninety thousand, four hundred".