11422101600 has 1080 divisors, whose sum is σ = 51894334800. Its totient is φ = 2393763840.

The previous prime is 11422101577. The next prime is 11422101619. The reversal of 11422101600 is 610122411.

11422101600 is a `hidden beast` number, since 1 + 1 + 42 + 21 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76658326 + ... + 76658474.

It is an arithmetic number, because the mean of its divisors is an integer number (48050310).

Almost surely, 2^11422101600 is an apocalyptic number.

11422101600 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 11422101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947167400).

11422101600 is an abundant number, since it is smaller than the sum of its proper divisors (40472233200).

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

11422101600 is a wasteful number, since it uses less digits than its factorization.

11422101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 11422101600 in words is "eleven billion, four hundred twenty-two million, one hundred one thousand, six hundred".