2661116590080 has 576 divisors, whose sum is σ = 9950658943680. Its totient is φ = 653841137664.

The previous prime is 2661116590079. The next prime is 2661116590141. The reversal of 2661116590080 is 800956111662.

2661116590080 is a `hidden beast` number, since 26 + 611 + 1 + 6 + 5 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 775156044 + ... + 775159476.

It is an arithmetic number, because the mean of its divisors is an integer number (17275449555).

Almost surely, 2^{2661116590080} is an apocalyptic number.

2661116590080 is a gapful number since it is divisible by the number (20) 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 2661116590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975329471840).

2661116590080 is an abundant number, since it is smaller than the sum of its proper divisors (7289542353600).

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

2661116590080 is a wasteful number, since it uses less digits than its factorization.

2661116590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4103 counting only the distinct ones).

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

The spelling of 2661116590080 in words is "two trillion, six hundred sixty-one billion, one hundred sixteen million, five hundred ninety thousand, eighty".