11207616000 has 640 divisors, whose sum is σ = 44122890240. Its totient is φ = 2469888000.

The previous prime is 11207615983. The next prime is 11207616029. The reversal of 11207616000 is 61670211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11207616000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 41663866 + ... + 41664134.

It is an arithmetic number, because the mean of its divisors is an integer number (68942016).

Almost surely, 2^11207616000 is an apocalyptic number.

11207616000 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 11207616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061445120).

11207616000 is an abundant number, since it is smaller than the sum of its proper divisors (32915274240).

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

11207616000 is an equidigital number, since it uses as much as digits as its factorization.

11207616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 11207616000 in words is "eleven billion, two hundred seven million, six hundred sixteen thousand".