1135166400 has 420 divisors, whose sum is σ = 4401723480. Its totient is φ = 286156800.

The previous prime is 1135166359. The next prime is 1135166407. The reversal of 1135166400 is 46615311.

1135166400 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 16 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135166407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462170 + ... + 2462630.

It is an arithmetic number, because the mean of its divisors is an integer number (10480294).

Almost surely, 2^1135166400 is an apocalyptic number.

1135166400 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 1135166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200861740).

1135166400 is an abundant number, since it is smaller than the sum of its proper divisors (3266557080).

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

1135166400 is a wasteful number, since it uses less digits than its factorization.

1135166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1135166400 is about 33692.2305583943. The cubic root of 1135166400 is about 1043.1654051220.

The spelling of 1135166400 in words is "one billion, one hundred thirty-five million, one hundred sixty-six thousand, four hundred".