1151987200 has 480 divisors, whose sum is σ = 3750759936. Its totient is φ = 340623360.

The previous prime is 1151987197. The next prime is 1151987237. The reversal of 1151987200 is 27891511.

1151987200 = T₁₁₁ + T₁₁₂ + ... + T₁₉₀₄.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26790379 + ... + 26790421.

Almost surely, 2^1151987200 is an apocalyptic number.

1151987200 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 1151987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875379968).

1151987200 is an abundant number, since it is smaller than the sum of its proper divisors (2598772736).

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

1151987200 is a wasteful number, since it uses less digits than its factorization.

1151987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 1151987200 is about 33940.9369346222. The cubic root of 1151987200 is about 1048.2926750893.

The spelling of 1151987200 in words is "one billion, one hundred fifty-one million, nine hundred eighty-seven thousand, two hundred".