110672160278400 has 4608 divisors, whose sum is σ = 524585064407040. Its totient is φ = 22454599680000.

The previous prime is 110672160278399. The next prime is 110672160278423. The reversal of 110672160278400 is 4872061276011.

110672160278400 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 7 + 216 + 0 + 27 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 117611221930 + ... + 117611222870.

It is an arithmetic number, because the mean of its divisors is an integer number (113842244880).

Almost surely, 2^{110672160278400} is an apocalyptic number.

110672160278400 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 110672160278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262292532203520).

110672160278400 is an abundant number, since it is smaller than the sum of its proper divisors (413912904128640).

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

110672160278400 is a wasteful number, since it uses less digits than its factorization.

110672160278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 110672160278400 in words is "one hundred ten trillion, six hundred seventy-two billion, one hundred sixty million, two hundred seventy-eight thousand, four hundred".