2661965679096 has 128 divisors (see below), whose sum is σ = 7727111116800. Its totient is φ = 858698431200.

The previous prime is 2661965679073. The next prime is 2661965679169. The reversal of 2661965679096 is 6909765691662.

2661965679096 is a `hidden beast` number, since 266 + 196 + 5 + 6 + 7 + 90 + 96 = 666.

2661965679096 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-2 number, since 2×2661965679096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911610 + ... + 2996361.

It is an arithmetic number, because the mean of its divisors is an integer number (60368055600).

Almost surely, 2^{2661965679096} is an apocalyptic number.

It is an amenable number.

2661965679096 is an abundant number, since it is smaller than the sum of its proper divisors (5065145437704).

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

2661965679096 is an equidigital number, since it uses as much as digits as its factorization.

2661965679096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908029 (or 4908007 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 2661965679096 in words is "two trillion, six hundred sixty-one billion, nine hundred sixty-five million, six hundred seventy-nine thousand, ninety-six".