2559320064000 has 2720 divisors, whose sum is σ = 11875661740800. Its totient is φ = 535088332800.

The previous prime is 2559320063987. The next prime is 2559320064011. The reversal of 2559320064000 is 4600239552.

2559320064000 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 3 + 2 + 0 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88252415986 + ... + 88252416014.

Almost surely, 2^{2559320064000} is an apocalyptic number.

2559320064000 is a gapful number since it is divisible by the number (20) 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 2559320064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937830870400).

2559320064000 is an abundant number, since it is smaller than the sum of its proper divisors (9316341676800).

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

2559320064000 is an frugal number, since it uses more digits than its factorization.

2559320064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2559320064000 in words is "two trillion, five hundred fifty-nine billion, three hundred twenty million, sixty-four thousand".