11551652808696 has 768 divisors, whose sum is σ = 43503917184000. Its totient is φ = 2728233446400.

The previous prime is 11551652808677. The next prime is 11551652808727. The reversal of 11551652808696 is 69680825615511.

11551652808696 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 16 + 528 + 0 + 8 + 6 + 96 = 666.

It is a super-2 number, since 2×11551652808696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236587966 + ... + 236636786.

It is an arithmetic number, because the mean of its divisors is an integer number (56645725500).

Almost surely, 2^{11551652808696} 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 11551652808696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21751958592000).

11551652808696 is an abundant number, since it is smaller than the sum of its proper divisors (31952264375304).

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

11551652808696 is a wasteful number, since it uses less digits than its factorization.

11551652808696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48945 (or 48924 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 11551652808696 in words is "eleven trillion, five hundred fifty-one billion, six hundred fifty-two million, eight hundred eight thousand, six hundred ninety-six".