11207404363680 has 864 divisors, whose sum is σ = 45340339524480. Its totient is φ = 2469259468800.

The previous prime is 11207404363667. The next prime is 11207404363681. The reversal of 11207404363680 is 8636340470211.

11207404363680 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 7 + 4 + 0 + 4 + 3 + 636 + 8 + 0 = 666.

11207404363680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11207404363681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1504143955 + ... + 1504151405.

It is an arithmetic number, because the mean of its divisors is an integer number (52477244820).

Almost surely, 2^{11207404363680} is an apocalyptic number.

11207404363680 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 11207404363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22670169762240).

11207404363680 is an abundant number, since it is smaller than the sum of its proper divisors (34132935160800).

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

11207404363680 is a wasteful number, since it uses less digits than its factorization.

11207404363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 11207404363680 in words is "eleven trillion, two hundred seven billion, four hundred four million, three hundred sixty-three thousand, six hundred eighty".