11179611280320 has 448 divisors, whose sum is σ = 43011655464960. Its totient is φ = 2401699627008.

The previous prime is 11179611280273. The next prime is 11179611280367. The reversal of 11179611280320 is 2308211697111.

It is an interprime number because it is at equal distance from previous prime (11179611280273) and next prime (11179611280367).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 82985176 + ... + 83119784.

It is an arithmetic number, because the mean of its divisors is an integer number (96008159520).

Almost surely, 2^{11179611280320} is an apocalyptic number.

11179611280320 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 11179611280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21505827732480).

11179611280320 is an abundant number, since it is smaller than the sum of its proper divisors (31832044184640).

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

11179611280320 is a wasteful number, since it uses less digits than its factorization.

11179611280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135380 (or 135370 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11179611280320 in words is "eleven trillion, one hundred seventy-nine billion, six hundred eleven million, two hundred eighty thousand, three hundred twenty".