5627854112400 has 1200 divisors, whose sum is σ = 22427512755648. Its totient is φ = 1342573056000.

The previous prime is 5627854112393. The next prime is 5627854112401. The reversal of 5627854112400 is 42114587265.

5627854112400 is a `hidden beast` number, since 5 + 62 + 7 + 8 + 541 + 1 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (5627854112401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5158435855 + ... + 5158436945.

Almost surely, 2^{5627854112400} is an apocalyptic number.

5627854112400 is a gapful number since it is divisible by the number (50) 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 5627854112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213756377824).

5627854112400 is an abundant number, since it is smaller than the sum of its proper divisors (16799658643248).

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

5627854112400 is a wasteful number, since it uses less digits than its factorization.

5627854112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

Adding to 5627854112400 its reverse (42114587265), we get a palindrome (5669968699665).

The spelling of 5627854112400 in words is "five trillion, six hundred twenty-seven billion, eight hundred fifty-four million, one hundred twelve thousand, four hundred".