52552281600 has 1200 divisors, whose sum is σ = 239814213408. Its totient is φ = 11068047360.

The previous prime is 52552281581. The next prime is 52552281619. The reversal of 52552281600 is 618225525.

It is a happy number.

52552281600 is a `hidden beast` number, since 5 + 25 + 5 + 2 + 28 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (52552281581) and next prime (52552281619).

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 94348522 + ... + 94349078.

Almost surely, 2^52552281600 is an apocalyptic number.

52552281600 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 52552281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119907106704).

52552281600 is an abundant number, since it is smaller than the sum of its proper divisors (187261931808).

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

52552281600 is a wasteful number, since it uses less digits than its factorization.

52552281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 52552281600 in words is "fifty-two billion, five hundred fifty-two million, two hundred eighty-one thousand, six hundred".