2559872001600 has 567 divisors, whose sum is σ = 9282859548417. Its totient is φ = 669064872960.

The previous prime is 2559872001563. The next prime is 2559872001671. The reversal of 2559872001600 is 61002789552.

The square root of 2559872001600 is 1599960.

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

2559872001600 is a `hidden beast` number, since 2 + 559 + 87 + 2 + 0 + 0 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 921553920576 + 1638318081024 = 959976^2 + 1279968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12863678301 + ... + 12863678499.

Almost surely, 2^{2559872001600} is an apocalyptic number.

2559872001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2559872001600 is the 1599960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2559872001600

2559872001600 is an abundant number, since it is smaller than the sum of its proper divisors (6722987546817).

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

2559872001600 is an equidigital number, since it uses as much as digits as its factorization.

2559872001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2559872001600 in words is "two trillion, five hundred fifty-nine billion, eight hundred seventy-two million, one thousand, six hundred".