1157985600 has 336 divisors, whose sum is σ = 4204338048. Its totient is φ = 277544960.

The previous prime is 1157985599. The next prime is 1157985601. The reversal of 1157985600 is 65897511.

It is an interprime number because it is at equal distance from previous prime (1157985599) and next prime (1157985601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157985601) by changing a digit.

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, 1876492 + ... + 1877108.

Almost surely, 2^1157985600 is an apocalyptic number.

1157985600 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 1157985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102169024).

1157985600 is an abundant number, since it is smaller than the sum of its proper divisors (3046352448).

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

1157985600 is a wasteful number, since it uses less digits than its factorization.

1157985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 1157985600 is about 34029.1874719336. The cubic root of 1157985600 is about 1050.1090136249.

It can be divided in two parts, 11579 and 85600, that added together give a palindrome (97179).

The spelling of 1157985600 in words is "one billion, one hundred fifty-seven million, nine hundred eighty-five thousand, six hundred".