111272257474560 has 3120 divisors, whose sum is σ = 502788802513536. Its totient is φ = 23400750514176.

The previous prime is 111272257474549. The next prime is 111272257474571. The reversal of 111272257474560 is 65474752272111.

It is a happy number.

111272257474560 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 7 + 2 + 2 + 5 + 7 + 4 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (111272257474549) and next prime (111272257474571).

It is a tau number, because it is divible by the number of its divisors (3120).

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 = 111272257474497 and 111272257474506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 362450349927 + ... + 362450350233.

Almost surely, 2^{111272257474560} is an apocalyptic number.

111272257474560 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 111272257474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251394401256768).

111272257474560 is an abundant number, since it is smaller than the sum of its proper divisors (391516545038976).

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

111272257474560 is an frugal number, since it uses more digits than its factorization.

111272257474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 111272257474560 in words is "one hundred eleven trillion, two hundred seventy-two billion, two hundred fifty-seven million, four hundred seventy-four thousand, five hundred sixty".