11642726168400 has 240 divisors, whose sum is σ = 39800336615424. Its totient is φ = 2899086704640.

The previous prime is 11642726168399. The next prime is 11642726168453. The reversal of 11642726168400 is 486162724611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11642726168400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11642726168400.

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, 343864 + ... + 4837736.

Almost surely, 2^{11642726168400} is an apocalyptic number.

11642726168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11642726168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900168307712).

11642726168400 is an abundant number, since it is smaller than the sum of its proper divisors (28157610447024).

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

11642726168400 is a wasteful number, since it uses less digits than its factorization.

11642726168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494038 (or 4494027 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 11642726168400 in words is "eleven trillion, six hundred forty-two billion, seven hundred twenty-six million, one hundred sixty-eight thousand, four hundred".