11207115073000 has 512 divisors, whose sum is σ = 32962111902720. Its totient is φ = 3464778240000.

The previous prime is 11207115072983. The next prime is 11207115073019. The reversal of 11207115073000 is 37051170211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11207115073000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6022092070 + ... + 6022093930.

It is an arithmetic number, because the mean of its divisors is an integer number (64379124810).

Almost surely, 2^{11207115073000} is an apocalyptic number.

11207115073000 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 11207115073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481055951360).

11207115073000 is an abundant number, since it is smaller than the sum of its proper divisors (21754996829720).

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

11207115073000 is a wasteful number, since it uses less digits than its factorization.

11207115073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The spelling of 11207115073000 in words is "eleven trillion, two hundred seven billion, one hundred fifteen million, seventy-three thousand".