1158738087936 has 416 divisors, whose sum is σ = 3666228693120. Its totient is φ = 320864256000.

The previous prime is 1158738087929. The next prime is 1158738087971. The reversal of 1158738087936 is 6397808378511.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177472320 + ... + 177478848.

Almost surely, 2^{1158738087936} is an apocalyptic number.

1158738087936 is a gapful number since it is divisible by the number (16) 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 1158738087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833114346560).

1158738087936 is an abundant number, since it is smaller than the sum of its proper divisors (2507490605184).

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

1158738087936 is a wasteful number, since it uses less digits than its factorization.

1158738087936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 1158738087936 in words is "one trillion, one hundred fifty-eight billion, seven hundred thirty-eight million, eighty-seven thousand, nine hundred thirty-six".