11071155230400 has 168 divisors, whose sum is σ = 36330237701584. Its totient is φ = 2951688499200.

The previous prime is 11071155230381. The next prime is 11071155230407. The reversal of 11071155230400 is 403255117011.

It is a super-2 number, since 2×11071155230400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11071155230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22862790 + ... + 23342010.

Almost surely, 2^{11071155230400} is an apocalyptic number.

11071155230400 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 11071155230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165118850792).

11071155230400 is an abundant number, since it is smaller than the sum of its proper divisors (25259082471184).

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

11071155230400 is a wasteful number, since it uses less digits than its factorization.

11071155230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484059 (or 484044 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 11071155230400 in words is "eleven trillion, seventy-one billion, one hundred fifty-five million, two hundred thirty thousand, four hundred".