11100432004020 has 288 divisors, whose sum is σ = 36442198840320. Its totient is φ = 2832745789440.

The previous prime is 11100432004019. The next prime is 11100432004069. The reversal of 11100432004020 is 2040023400111.

11100432004020 is a `hidden beast` number, since 11 + 10 + 0 + 43 + 200 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11100432003984 and 11100432004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15577725 + ... + 16274715.

It is an arithmetic number, because the mean of its divisors is an integer number (126535412640).

Almost surely, 2^{11100432004020} is an apocalyptic number.

11100432004020 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 11100432004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221099420160).

11100432004020 is an abundant number, since it is smaller than the sum of its proper divisors (25341766836300).

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

11100432004020 is a wasteful number, since it uses less digits than its factorization.

11100432004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697157 (or 697143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11100432004020 its reverse (2040023400111), we get a palindrome (13140455404131).

The spelling of 11100432004020 in words is "eleven trillion, one hundred billion, four hundred thirty-two million, four thousand, twenty".