13557866400 has 576 divisors, whose sum is σ = 53861552640. Its totient is φ = 3270758400.

The previous prime is 13557866369. The next prime is 13557866411. The reversal of 13557866400 is 466875531.

13557866400 is a `hidden beast` number, since 1 + 35 + 578 + 6 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14881945 + ... + 14882855.

It is an arithmetic number, because the mean of its divisors is an integer number (93509640).

Almost surely, 2^13557866400 is an apocalyptic number.

13557866400 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 13557866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930776320).

13557866400 is an abundant number, since it is smaller than the sum of its proper divisors (40303686240).

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

13557866400 is a wasteful number, since it uses less digits than its factorization.

13557866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13557866400 in words is "thirteen billion, five hundred fifty-seven million, eight hundred sixty-six thousand, four hundred".