11170099584000 has 2464 divisors, whose sum is σ = 48864182640000. Its totient is φ = 2545849958400.

The previous prime is 11170099583971. The next prime is 11170099584043. The reversal of 11170099584000 is 48599007111.

It is a happy number.

It is a super-2 number, since 2×11170099584000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 32006015826 + ... + 32006016174.

Almost surely, 2^{11170099584000} is an apocalyptic number.

11170099584000 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 11170099584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24432091320000).

11170099584000 is an abundant number, since it is smaller than the sum of its proper divisors (37694083056000).

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

11170099584000 is an frugal number, since it uses more digits than its factorization.

11170099584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11170099584000 in words is "eleven trillion, one hundred seventy billion, ninety-nine million, five hundred eighty-four thousand".