1151581200 has 480 divisors, whose sum is σ = 4682176512. Its totient is φ = 236966400.

The previous prime is 1151581157. The next prime is 1151581201. The reversal of 1151581200 is 21851511.

It is a super-2 number, since 2×1151581200² = 2652278520386880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1151581201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11180349 + ... + 11180451.

Almost surely, 2^1151581200 is an apocalyptic number.

1151581200 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 1151581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341088256).

1151581200 is an abundant number, since it is smaller than the sum of its proper divisors (3530595312).

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

1151581200 is a wasteful number, since it uses less digits than its factorization.

1151581200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

The square root of 1151581200 is about 33934.9554294683. The cubic root of 1151581200 is about 1048.1695091273.

The spelling of 1151581200 in words is "one billion, one hundred fifty-one million, five hundred eighty-one thousand, two hundred".