8661051210960 has 400 divisors, whose sum is σ = 30326376237696. Its totient is φ = 2290835229696.

The previous prime is 8661051210949. The next prime is 8661051211013. The reversal of 8661051210960 is 690121501668.

8661051210960 is a `hidden beast` number, since 8 + 6 + 61 + 0 + 512 + 10 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 597183069 + ... + 597197571.

Almost surely, 2^{8661051210960} is an apocalyptic number.

8661051210960 is a gapful number since it is divisible by the number (80) 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 8661051210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163188118848).

8661051210960 is an abundant number, since it is smaller than the sum of its proper divisors (21665325026736).

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

8661051210960 is a wasteful number, since it uses less digits than its factorization.

8661051210960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 8661051210960 in words is "eight trillion, six hundred sixty-one billion, fifty-one million, two hundred ten thousand, nine hundred sixty".