11651656072 has 64 divisors (see below), whose sum is σ = 25858621440. Its totient is φ = 4818408000.

The previous prime is 11651656033. The next prime is 11651656091. The reversal of 11651656072 is 27065615611.

11651656072 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 2×11651656072² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155697 + ... + 218047.

It is an arithmetic number, because the mean of its divisors is an integer number (404040960).

Almost surely, 2^11651656072 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 11651656072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929310720).

11651656072 is an abundant number, since it is smaller than the sum of its proper divisors (14206965368).

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

11651656072 is a wasteful number, since it uses less digits than its factorization.

11651656072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62482 (or 62478 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 11651656072 in words is "eleven billion, six hundred fifty-one million, six hundred fifty-six thousand, seventy-two".