2653564610016 has 288 divisors, whose sum is σ = 8047745072640. Its totient is φ = 826965061632.

The previous prime is 2653564610003. The next prime is 2653564610051. The reversal of 2653564610016 is 6100164653562.

2653564610016 is a `hidden beast` number, since 2 + 6 + 535 + 6 + 4 + 6 + 100 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 500953480 + ... + 500958776.

It is an arithmetic number, because the mean of its divisors is an integer number (27943559280).

Almost surely, 2^{2653564610016} 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 2653564610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023872536320).

2653564610016 is an abundant number, since it is smaller than the sum of its proper divisors (5394180462624).

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

2653564610016 is a wasteful number, since it uses less digits than its factorization.

2653564610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2653564610016 in words is "two trillion, six hundred fifty-three billion, five hundred sixty-four million, six hundred ten thousand, sixteen".