11106887350320 has 240 divisors, whose sum is σ = 39530972043360. Its totient is φ = 2866292974080.

The previous prime is 11106887350271. The next prime is 11106887350333. The reversal of 11106887350320 is 2305378860111.

It is a happy number.

11106887350320 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 68 + 87 + 3 + 503 + 2 + 0 = 666.

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

It is a super-2 number, since 2×11106887350320² (a number of 27 digits) contains 22 as substring.

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

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, 599619 + ... + 4751138.

It is an arithmetic number, because the mean of its divisors is an integer number (164712383514).

Almost surely, 2^{11106887350320} is an apocalyptic number.

11106887350320 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 11106887350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765486021680).

11106887350320 is an abundant number, since it is smaller than the sum of its proper divisors (28424084693040).

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

11106887350320 is a wasteful number, since it uses less digits than its factorization.

11106887350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350841 (or 5350798 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11106887350320 in words is "eleven trillion, one hundred six billion, eight hundred eighty-seven million, three hundred fifty thousand, three hundred twenty".