110851979040 has 288 divisors, whose sum is σ = 412997247936. Its totient is φ = 26852014080.

The previous prime is 110851979027. The next prime is 110851979057. The reversal of 110851979040 is 40979158011.

It is a happy number.

110851979040 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 519 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×110851979040² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 31250547 + ... + 31254093.

It is an arithmetic number, because the mean of its divisors is an integer number (1434018222).

Almost surely, 2^110851979040 is an apocalyptic number.

110851979040 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 110851979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206498623968).

110851979040 is an abundant number, since it is smaller than the sum of its proper divisors (302145268896).

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

110851979040 is a wasteful number, since it uses less digits than its factorization.

110851979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 110851979040 in words is "one hundred ten billion, eight hundred fifty-one million, nine hundred seventy-nine thousand, forty".