5456965840400 has 120 divisors (see below), whose sum is σ = 13329719120904. Its totient is φ = 2146288435200.

The previous prime is 5456965840363. The next prime is 5456965840427. The reversal of 5456965840400 is 40485696545.

It can be written as a sum of positive squares in 12 ways, for example, as 31942268176 + 5425023572224 = 178724^2 + 2329168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76507154 + ... + 76578446.

Almost surely, 2^{5456965840400} is an apocalyptic number.

5456965840400 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 5456965840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664859560452).

5456965840400 is an abundant number, since it is smaller than the sum of its proper divisors (7872753280504).

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

5456965840400 is a wasteful number, since it uses less digits than its factorization.

5456965840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74509 (or 74498 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 56.

The spelling of 5456965840400 in words is "five trillion, four hundred fifty-six billion, nine hundred sixty-five million, eight hundred forty thousand, four hundred".