1087957391136 has 288 divisors, whose sum is σ = 3626570320128. Its totient is φ = 282399183360.

The previous prime is 1087957391119. The next prime is 1087957391159. The reversal of 1087957391136 is 6311937597801.

1087957391136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1087957391136³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1087957391136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89148811 + ... + 89161013.

It is an arithmetic number, because the mean of its divisors is an integer number (12592258056).

Almost surely, 2^{1087957391136} is an apocalyptic number.

1087957391136 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 1087957391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813285160064).

1087957391136 is an abundant number, since it is smaller than the sum of its proper divisors (2538612928992).

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

1087957391136 is a wasteful number, since it uses less digits than its factorization.

1087957391136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 1087957391136 in words is "one trillion, eighty-seven billion, nine hundred fifty-seven million, three hundred ninety-one thousand, one hundred thirty-six".