52155600 has 180 divisors, whose sum is σ = 194567904. Its totient is φ = 11907840.

The previous prime is 52155583. The next prime is 52155611. The reversal of 52155600 is 655125.

52155600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52155600² = 5440413222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58357 + ... + 59243.

Almost surely, 2^52155600 is an apocalyptic number.

52155600 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 52155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97283952).

52155600 is an abundant number, since it is smaller than the sum of its proper divisors (142412304).

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

52155600 is a wasteful number, since it uses less digits than its factorization.

52155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 52155600 is about 7221.8834108562. The cubic root of 52155600 is about 373.6230390199.

The spelling of 52155600 in words is "fifty-two million, one hundred fifty-five thousand, six hundred".