8811661513000 has 128 divisors (see below), whose sum is σ = 21332746375200. Its totient is φ = 3402733824000.

The previous prime is 8811661512991. The next prime is 8811661513013. The reversal of 8811661513000 is 3151661188.

It can be written as a sum of positive squares in 16 ways, for example, as 754045616164 + 8057615896836 = 868358^2 + 2838594^2 .

It is a super-3 number, since 3×8811661513000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490700022 + ... + 490717978.

Almost surely, 2^{8811661513000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8811661513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666373187600).

8811661513000 is an abundant number, since it is smaller than the sum of its proper divisors (12521084862200).

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

8811661513000 is a wasteful number, since it uses less digits than its factorization.

8811661513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34928 (or 34914 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 8811661513000 in words is "eight trillion, eight hundred eleven billion, six hundred sixty-one million, five hundred thirteen thousand".