1158201600 has 216 divisors, whose sum is σ = 3855065760. Its totient is φ = 306216960.

The previous prime is 1158201557. The next prime is 1158201607. The reversal of 1158201600 is 61028511.

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 (1158201607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436632 + ... + 3436968.

Almost surely, 2^1158201600 is an apocalyptic number.

1158201600 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 1158201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927532880).

1158201600 is an abundant number, since it is smaller than the sum of its proper divisors (2696864160).

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

1158201600 is a wasteful number, since it uses less digits than its factorization.

1158201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1158201600 is about 34032.3610700169. The cubic root of 1158201600 is about 1050.1743021297.

The spelling of 1158201600 in words is "one billion, one hundred fifty-eight million, two hundred one thousand, six hundred".