2552063113600 has 768 divisors, whose sum is σ = 8484241973760. Its totient is φ = 732561408000.

The previous prime is 2552063113553. The next prime is 2552063113651. The reversal of 2552063113600 is 63113602552.

It is a super-2 number, since 2×2552063113600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2213410624 + ... + 2213411776.

It is an arithmetic number, because the mean of its divisors is an integer number (11047190070).

Almost surely, 2^{2552063113600} is an apocalyptic number.

2552063113600 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 2552063113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242120986880).

2552063113600 is an abundant number, since it is smaller than the sum of its proper divisors (5932178860160).

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

2552063113600 is a wasteful number, since it uses less digits than its factorization.

2552063113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 2552063113600 in words is "two trillion, five hundred fifty-two billion, sixty-three million, one hundred thirteen thousand, six hundred".