5406275481600 has 1248 divisors, whose sum is σ = 22163427449856. Its totient is φ = 1134349516800.

The previous prime is 5406275481589. The next prime is 5406275481611. The reversal of 5406275481600 is 61845726045.

It is an interprime number because it is at equal distance from previous prime (5406275481589) and next prime (5406275481611).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5406275481600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1498826997 + ... + 1498830603.

Almost surely, 2^{5406275481600} is an apocalyptic number.

5406275481600 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 5406275481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081713724928).

5406275481600 is an abundant number, since it is smaller than the sum of its proper divisors (16757151968256).

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

5406275481600 is a wasteful number, since it uses less digits than its factorization.

5406275481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 5406275481600 in words is "five trillion, four hundred six billion, two hundred seventy-five million, four hundred eighty-one thousand, six hundred".