11322010106400 has 864 divisors, whose sum is σ = 43922547527040. Its totient is φ = 2478540718080.

The previous prime is 11322010106387. The next prime is 11322010106417. The reversal of 11322010106400 is 460101022311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32628271027 + ... + 32628271373.

It is an arithmetic number, because the mean of its divisors is an integer number (50836281860).

Almost surely, 2^{11322010106400} is an apocalyptic number.

11322010106400 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 11322010106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21961273763520).

11322010106400 is an abundant number, since it is smaller than the sum of its proper divisors (32600537420640).

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

11322010106400 is a wasteful number, since it uses less digits than its factorization.

11322010106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11322010106400 its reverse (460101022311), we get a palindrome (11782111128711).

The spelling of 11322010106400 in words is "eleven trillion, three hundred twenty-two billion, ten million, one hundred six thousand, four hundred".