2153220505711 has 24 divisors (see below), whose sum is σ = 2536413620832. Its totient is φ = 1821761092800.

The previous prime is 2153220505693. The next prime is 2153220505727. The reversal of 2153220505711 is 1175050223512.

It is not a de Polignac number, because 2153220505711 - 2⁵ = 2153220505679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153220505771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10352500 + ... + 10558441.

It is an arithmetic number, because the mean of its divisors is an integer number (105683900868).

Almost surely, 2^{2153220505711} is an apocalyptic number.

2153220505711 is a deficient number, since it is larger than the sum of its proper divisors (383193115121).

2153220505711 is a wasteful number, since it uses less digits than its factorization.

2153220505711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20911023 (or 20911012 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 2153220505711 in words is "two trillion, one hundred fifty-three billion, two hundred twenty million, five hundred five thousand, seven hundred eleven".