1155387324000 has 1536 divisors, whose sum is σ = 4818581913600. Its totient is φ = 235566489600.

The previous prime is 1155387323989. The next prime is 1155387324011. The reversal of 1155387324000 is 4237835511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1155387323989) and next prime (1155387324011).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1155387324000.

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 255 ways as a sum of consecutive naturals, for example, 5089811887 + ... + 5089812113.

It is an arithmetic number, because the mean of its divisors is an integer number (3137097600).

Almost surely, 2^{1155387324000} is an apocalyptic number.

1155387324000 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 1155387324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409290956800).

1155387324000 is an abundant number, since it is smaller than the sum of its proper divisors (3663194589600).

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

1155387324000 is a wasteful number, since it uses less digits than its factorization.

1155387324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 1155387324000 in words is "one trillion, one hundred fifty-five billion, three hundred eighty-seven million, three hundred twenty-four thousand".