1150918359360 has 448 divisors, whose sum is σ = 4558202947584. Its totient is φ = 239028019200.

The previous prime is 1150918359347. The next prime is 1150918359373. The reversal of 1150918359360 is 639538190511.

It is an interprime number because it is at equal distance from previous prime (1150918359347) and next prime (1150918359373).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1150918359360² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 236763330 + ... + 236768190.

Almost surely, 2^{1150918359360} is an apocalyptic number.

1150918359360 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 1150918359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279101473792).

1150918359360 is an abundant number, since it is smaller than the sum of its proper divisors (3407284588224).

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

1150918359360 is a wasteful number, since it uses less digits than its factorization.

1150918359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The spelling of 1150918359360 in words is "one trillion, one hundred fifty billion, nine hundred eighteen million, three hundred fifty-nine thousand, three hundred sixty".