2552569528320 has 1200 divisors, whose sum is σ = 11016590785920. Its totient is φ = 558077313024.

The previous prime is 2552569528319. The next prime is 2552569528363. The reversal of 2552569528320 is 238259652552.

2552569528320 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 569 + 52 + 8 + 3 + 20 = 666.

It is a super-2 number, since 2×2552569528320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110981283829 + ... + 110981283851.

Almost surely, 2^{2552569528320} is an apocalyptic number.

2552569528320 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 2552569528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508295392960).

2552569528320 is an abundant number, since it is smaller than the sum of its proper divisors (8464021257600).

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

2552569528320 is an frugal number, since it uses more digits than its factorization.

2552569528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 2552569528320 in words is "two trillion, five hundred fifty-two billion, five hundred sixty-nine million, five hundred twenty-eight thousand, three hundred twenty".