110138310696960 has 3584 divisors, whose sum is σ = 509679502295040. Its totient is φ = 21938621644800.

The previous prime is 110138310696949. The next prime is 110138310696971. The reversal of 110138310696960 is 69696013831011.

It is a happy number.

110138310696960 is a `hidden beast` number, since 1 + 10 + 1 + 383 + 106 + 96 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (110138310696949) and next prime (110138310696971).

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a junction number, because it is equal to n+sod(n) for n = 110138310696897 and 110138310696906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134151413350 + ... + 134151414170.

It is an arithmetic number, because the mean of its divisors is an integer number (142209682560).

Almost surely, 2^{110138310696960} is an apocalyptic number.

110138310696960 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 110138310696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254839751147520).

110138310696960 is an abundant number, since it is smaller than the sum of its proper divisors (399541191598080).

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

110138310696960 is a wasteful number, since it uses less digits than its factorization.

110138310696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 110138310696960 in words is "one hundred ten trillion, one hundred thirty-eight billion, three hundred ten million, six hundred ninety-six thousand, nine hundred sixty".