11012942001600 has 6048 divisors, whose sum is σ = 56541014476800. Its totient is φ = 2069286912000.

The previous prime is 11012942001577. The next prime is 11012942001617. The reversal of 11012942001600 is 610024921011.

11012942001600 is a `hidden beast` number, since 1 + 1 + 0 + 12 + 9 + 42 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 150862219164 + ... + 150862219236.

Almost surely, 2^{11012942001600} is an apocalyptic number.

11012942001600 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 11012942001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28270507238400).

11012942001600 is an abundant number, since it is smaller than the sum of its proper divisors (45528072475200).

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

11012942001600 is a wasteful number, since it uses less digits than its factorization.

11012942001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 11012942001600 its reverse (610024921011), we get a palindrome (11622966922611).

The spelling of 11012942001600 in words is "eleven trillion, twelve billion, nine hundred forty-two million, one thousand, six hundred".