5401254883600 has 135 divisors (see below), whose sum is σ = 13442765570767. Its totient is φ = 2085481296640.

The previous prime is 5401254883597. The next prime is 5401254883601. The reversal of 5401254883600 is 63884521045.

The square root of 5401254883600 is 2324060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74243170576 + 5327011713024 = 272476^2 + 2308032^2 .

It is a super-2 number, since 2×5401254883600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5401254883601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1347952797 + ... + 1347956803.

Almost surely, 2^{5401254883600} is an apocalyptic number.

5401254883600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5401254883600 is the 2324060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401254883600

5401254883600 is an abundant number, since it is smaller than the sum of its proper divisors (8041510687167).

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

5401254883600 is an frugal number, since it uses more digits than its factorization.

5401254883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 5401254883600 in words is "five trillion, four hundred one billion, two hundred fifty-four million, eight hundred eighty-three thousand, six hundred".