5487868464400 has 405 divisors, whose sum is σ = 15911874769869. Its totient is φ = 1813525217280.

The previous prime is 5487868464341. The next prime is 5487868464427. The reversal of 5487868464400 is 44648687845.

The square root of 5487868464400 is 2342620.

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

It can be written as a sum of positive squares in 13 ways, for example, as 218309479696 + 5269558984704 = 467236^2 + 2295552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9511036912 + ... + 9511037488.

Almost surely, 2^{5487868464400} is an apocalyptic number.

5487868464400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5487868464400 is the 2342620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5487868464400

5487868464400 is an abundant number, since it is smaller than the sum of its proper divisors (10424006305469).

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

5487868464400 is an equidigital number, since it uses as much as digits as its factorization.

5487868464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 64.

Multiplying 5487868464400 by its sum of digits (64), we get a square (351223581721600 = 18740960²).

The spelling of 5487868464400 in words is "five trillion, four hundred eighty-seven billion, eight hundred sixty-eight million, four hundred sixty-four thousand, four hundred".