11107613373480 has 288 divisors, whose sum is σ = 39096746357760. Its totient is φ = 2733727726080.

The previous prime is 11107613373449. The next prime is 11107613373499. The reversal of 11107613373480 is 8437331670111.

11107613373480 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 76 + 1 + 33 + 73 + 480 = 666.

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 71 ways as a sum of consecutive naturals, for example, 504170065 + ... + 504192095.

It is an arithmetic number, because the mean of its divisors is an integer number (135752591520).

Almost surely, 2^{11107613373480} is an apocalyptic number.

11107613373480 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 11107613373480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548373178880).

11107613373480 is an abundant number, since it is smaller than the sum of its proper divisors (27989132984280).

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

11107613373480 is a wasteful number, since it uses less digits than its factorization.

11107613373480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30361 (or 30341 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11107613373480 in words is "eleven trillion, one hundred seven billion, six hundred thirteen million, three hundred seventy-three thousand, four hundred eighty".