1151085600 has 576 divisors, whose sum is σ = 4979681280. Its totient is φ = 250905600.

The previous prime is 1151085571. The next prime is 1151085631. The reversal of 1151085600 is 65801511.

1151085600 is a `hidden beast` number, since 1 + 1 + 51 + 0 + 8 + 5 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3477435 + ... + 3477765.

It is an arithmetic number, because the mean of its divisors is an integer number (8645280).

Almost surely, 2^1151085600 is an apocalyptic number.

1151085600 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 1151085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489840640).

1151085600 is an abundant number, since it is smaller than the sum of its proper divisors (3828595680).

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

1151085600 is a wasteful number, since it uses less digits than its factorization.

1151085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1151085600 is about 33927.6524386819. The cubic root of 1151085600 is about 1048.0191224683.

The spelling of 1151085600 in words is "one billion, one hundred fifty-one million, eighty-five thousand, six hundred".