5460220550400 has 432 divisors, whose sum is σ = 22466331729408. Its totient is φ = 1134590976000.

The previous prime is 5460220550381. The next prime is 5460220550413. The reversal of 5460220550400 is 40550220645.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368266 + ... + 3325065.

Almost surely, 2^{5460220550400} is an apocalyptic number.

5460220550400 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 5460220550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233165864704).

5460220550400 is an abundant number, since it is smaller than the sum of its proper divisors (17006111179008).

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

5460220550400 is a wasteful number, since it uses less digits than its factorization.

5460220550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693378 (or 3693359 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 5460220550400 in words is "five trillion, four hundred sixty billion, two hundred twenty million, five hundred fifty thousand, four hundred".