5654554214400 has 2592 divisors, whose sum is σ = 26030590185600. Its totient is φ = 1165303480320.

The previous prime is 5654554214381. The next prime is 5654554214411. The reversal of 5654554214400 is 44124554565.

5654554214400 is a `hidden beast` number, since 5 + 6 + 54 + 5 + 542 + 14 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131501260779 + ... + 131501260821.

Almost surely, 2^{5654554214400} is an apocalyptic number.

5654554214400 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 5654554214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015295092800).

5654554214400 is an abundant number, since it is smaller than the sum of its proper divisors (20376035971200).

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

5654554214400 is an equidigital number, since it uses as much as digits as its factorization.

5654554214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 5654554214400 its reverse (44124554565), we get a palindrome (5698678768965).

The spelling of 5654554214400 in words is "five trillion, six hundred fifty-four billion, five hundred fifty-four million, two hundred fourteen thousand, four hundred".