1159745532400 has 1080 divisors, whose sum is σ = 3725149762656. Its totient is φ = 339487948800.

The previous prime is 1159745532353. The next prime is 1159745532437. The reversal of 1159745532400 is 42355479511.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10263234744 + ... + 10263234856.

Almost surely, 2^{1159745532400} is an apocalyptic number.

1159745532400 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 1159745532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862574881328).

1159745532400 is an abundant number, since it is smaller than the sum of its proper divisors (2565404230256).

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

1159745532400 is a wasteful number, since it uses less digits than its factorization.

1159745532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 1159745532400 in words is "one trillion, one hundred fifty-nine billion, seven hundred forty-five million, five hundred thirty-two thousand, four hundred".