1088272166400 has 180 divisors, whose sum is σ = 3894626087352. Its totient is φ = 290205880320.

The previous prime is 1088272166363. The next prime is 1088272166461. The reversal of 1088272166400 is 46612728801.

1088272166400 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 27 + 216 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 17 ways as a sum of consecutive naturals, for example, 4608204 + ... + 4838603.

Almost surely, 2^{1088272166400} is an apocalyptic number.

1088272166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1088272166400 is an abundant number, since it is smaller than the sum of its proper divisors (2806353920952).

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

1088272166400 is an equidigital number, since it uses as much as digits as its factorization.

1088272166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9446841 (or 9446817 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1088272166400 in words is "one trillion, eighty-eight billion, two hundred seventy-two million, one hundred sixty-six thousand, four hundred".