5275098561600 has 3360 divisors, whose sum is σ = 24667944364800. Its totient is φ = 1078537420800.

The previous prime is 5275098561583. The next prime is 5275098561617. The reversal of 5275098561600 is 61658905725.

5275098561600 is a `hidden beast` number, since 5 + 2 + 75 + 0 + 9 + 8 + 561 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5275098561583) and next prime (5275098561617).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30491899114 + ... + 30491899286.

Almost surely, 2^{5275098561600} is an apocalyptic number.

5275098561600 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 5275098561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333972182400).

5275098561600 is an abundant number, since it is smaller than the sum of its proper divisors (19392845803200).

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

5275098561600 is a wasteful number, since it uses less digits than its factorization.

5275098561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5275098561600 in words is "five trillion, two hundred seventy-five billion, ninety-eight million, five hundred sixty-one thousand, six hundred".