11672071110300 has 72 divisors (see below), whose sum is σ = 34935716314800. Its totient is φ = 3005222904320.

The previous prime is 11672071110281. The next prime is 11672071110311. The reversal of 11672071110300 is 301117027611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670799985 + ... + 670817384.

It is an arithmetic number, because the mean of its divisors is an integer number (485218282150).

Almost surely, 2^{11672071110300} is an apocalyptic number.

11672071110300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11672071110300 is an abundant number, since it is smaller than the sum of its proper divisors (23263645204500).

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

11672071110300 is a wasteful number, since it uses less digits than its factorization.

11672071110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341617415 (or 1341617408 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

Adding to 11672071110300 its reverse (301117027611), we get a palindrome (11973188137911).

The spelling of 11672071110300 in words is "eleven trillion, six hundred seventy-two billion, seventy-one million, one hundred ten thousand, three hundred".