52225544553600 has 768 divisors, whose sum is σ = 198434419384320. Its totient is φ = 11953459200000.

The previous prime is 52225544553583. The next prime is 52225544553601. The reversal of 52225544553600 is 635544552225.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52225544553600.

It is not an unprimeable number, because it can be changed into a prime (52225544553601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134023045 + ... + 134412155.

It is an arithmetic number, because the mean of its divisors is an integer number (258378150240).

Almost surely, 2^{52225544553600} is an apocalyptic number.

52225544553600 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 52225544553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99217209692160).

52225544553600 is an abundant number, since it is smaller than the sum of its proper divisors (146208874830720).

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

52225544553600 is a wasteful number, since it uses less digits than its factorization.

52225544553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389221 (or 389204 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 48.

The spelling of 52225544553600 in words is "fifty-two trillion, two hundred twenty-five billion, five hundred forty-four million, five hundred fifty-three thousand, six hundred".