11532106106400 has 288 divisors, whose sum is σ = 40964394110976. Its totient is φ = 2794642560000.

The previous prime is 11532106106399. The next prime is 11532106106467. The reversal of 11532106106400 is 460160123511.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73604145 + ... + 73760655.

It is an arithmetic number, because the mean of its divisors is an integer number (142237479552).

Almost surely, 2^{11532106106400} is an apocalyptic number.

11532106106400 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 11532106106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482197055488).

11532106106400 is an abundant number, since it is smaller than the sum of its proper divisors (29432288004576).

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

11532106106400 is a wasteful number, since it uses less digits than its factorization.

11532106106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159336 (or 159323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11532106106400 its reverse (460160123511), we get a palindrome (11992266229911).

The spelling of 11532106106400 in words is "eleven trillion, five hundred thirty-two billion, one hundred six million, one hundred six thousand, four hundred".