11542845626400 has 432 divisors, whose sum is σ = 43727426703072. Its totient is φ = 2633660620800.

The previous prime is 11542845626393. The next prime is 11542845626401. The reversal of 11542845626400 is 462654824511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11542845626400.

It is not an unprimeable number, because it can be changed into a prime (11542845626401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3767739 + ... + 6105861.

It is an arithmetic number, because the mean of its divisors is an integer number (101220895146).

Almost surely, 2^{11542845626400} is an apocalyptic number.

11542845626400 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 11542845626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863713351536).

11542845626400 is an abundant number, since it is smaller than the sum of its proper divisors (32184581076672).

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

11542845626400 is a wasteful number, since it uses less digits than its factorization.

11542845626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338185 (or 2338161 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 11542845626400 in words is "eleven trillion, five hundred forty-two billion, eight hundred forty-five million, six hundred twenty-six thousand, four hundred".