1158947288400 has 960 divisors, whose sum is σ = 4364520652800. Its totient is φ = 260112384000.

The previous prime is 1158947288381. The next prime is 1158947288417. The reversal of 1158947288400 is 48827498511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1507083216 + ... + 1507083984.

It is an arithmetic number, because the mean of its divisors is an integer number (4546375680).

Almost surely, 2^{1158947288400} is an apocalyptic number.

1158947288400 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 1158947288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182260326400).

1158947288400 is an abundant number, since it is smaller than the sum of its proper divisors (3205573364400).

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

1158947288400 is a wasteful number, since it uses less digits than its factorization.

1158947288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 1158947288400 in words is "one trillion, one hundred fifty-eight billion, nine hundred forty-seven million, two hundred eighty-eight thousand, four hundred".