1089179330400 has 2160 divisors, whose sum is σ = 4848280690176. Its totient is φ = 237027409920.

The previous prime is 1089179330383. The next prime is 1089179330401. The reversal of 1089179330400 is 40339719801.

1089179330400 is a `hidden beast` number, since 108 + 9 + 179 + 330 + 40 + 0 = 666.

1089179330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1089179330400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089179330401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8576215137 + ... + 8576215263.

Almost surely, 2^{1089179330400} is an apocalyptic number.

1089179330400 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 1089179330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424140345088).

1089179330400 is an abundant number, since it is smaller than the sum of its proper divisors (3759101359776).

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

1089179330400 is a wasteful number, since it uses less digits than its factorization.

1089179330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1089179330400 in words is "one trillion, eighty-nine billion, one hundred seventy-nine million, three hundred thirty thousand, four hundred".