10887117540000 has 1920 divisors, whose sum is σ = 41868191490048. Its totient is φ = 2455971840000.

The previous prime is 10887117539989. The next prime is 10887117540007. The reversal of 10887117540000 is 4571178801.

It is not an unprimeable number, because it can be changed into a prime (10887117540007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38470379859 + ... + 38470380141.

Almost surely, 2^{10887117540000} is an apocalyptic number.

10887117540000 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 10887117540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934095745024).

10887117540000 is an abundant number, since it is smaller than the sum of its proper divisors (30981073950048).

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

10887117540000 is a wasteful number, since it uses less digits than its factorization.

10887117540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 42.

The spelling of 10887117540000 in words is "ten trillion, eight hundred eighty-seven billion, one hundred seventeen million, five hundred forty thousand".