1151958080 has 336 divisors, whose sum is σ = 3614440320. Its totient is φ = 341213184.

The previous prime is 1151958053. The next prime is 1151958083. The reversal of 1151958080 is 808591511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1151958083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6435431 + ... + 6435609.

Almost surely, 2^1151958080 is an apocalyptic number.

1151958080 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 1151958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807220160).

1151958080 is an abundant number, since it is smaller than the sum of its proper divisors (2462482240).

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

1151958080 is a wasteful number, since it uses less digits than its factorization.

1151958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 38.

The square root of 1151958080 is about 33940.5079514140. The cubic root of 1151958080 is about 1048.2838420803.

The spelling of 1151958080 in words is "one billion, one hundred fifty-one million, nine hundred fifty-eight thousand, eighty".