111153254400 has 546 divisors, whose sum is σ = 413528122970. Its totient is φ = 29620961280.

The previous prime is 111153254357. The next prime is 111153254413. The reversal of 111153254400 is 4452351111.

111153254400 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 5 + 3 + 254 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1077940224 + 110075314176 = 32832^2 + 331776^2 .

It is a super-2 number, since 2×111153254400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 74648856 + ... + 74650344.

Almost surely, 2^111153254400 is an apocalyptic number.

111153254400 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 111153254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206764061485).

111153254400 is an abundant number, since it is smaller than the sum of its proper divisors (302374868570).

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

111153254400 is an frugal number, since it uses more digits than its factorization.

111153254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 111153254400 in words is "one hundred eleven billion, one hundred fifty-three million, two hundred fifty-four thousand, four hundred".