1159520400 has 240 divisors, whose sum is σ = 4171816320. Its totient is φ = 305856000.

The previous prime is 1159520399. The next prime is 1159520419. The reversal of 1159520400 is 40259511.

1159520400 is a `hidden beast` number, since 11 + 595 + 20 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090269 + ... + 1091331.

It is an arithmetic number, because the mean of its divisors is an integer number (17382568).

Almost surely, 2^1159520400 is an apocalyptic number.

1159520400 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 1159520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085908160).

1159520400 is an abundant number, since it is smaller than the sum of its proper divisors (3012295920).

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

1159520400 is a wasteful number, since it uses less digits than its factorization.

1159520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1159520400 is about 34051.7312335217. The cubic root of 1159520400 is about 1050.5727487476.

Adding to 1159520400 its reverse (40259511), we get a palindrome (1199779911).

The spelling of 1159520400 in words is "one billion, one hundred fifty-nine million, five hundred twenty thousand, four hundred".