9180979200000 has 1224 divisors, whose sum is σ = 35221028975496. Its totient is φ = 2296381440000.

The previous prime is 9180979199999. The next prime is 9180979200023. The reversal of 9180979200000 is 29790819.

It can be written as a sum of positive squares in 12 ways, for example, as 7362235662336 + 1818743537664 = 2713344^2 + 1348608^2 .

It is a tau number, because it is divible by the number of its divisors (1224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31334399854 + ... + 31334400146.

Almost surely, 2^{9180979200000} is an apocalyptic number.

9180979200000 is a gapful number since it is divisible by the number (90) 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 9180979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610514487748).

9180979200000 is an abundant number, since it is smaller than the sum of its proper divisors (26040049775496).

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

9180979200000 is an frugal number, since it uses more digits than its factorization.

9180979200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 9180979200000 in words is "nine trillion, one hundred eighty billion, nine hundred seventy-nine million, two hundred thousand".