52179600 has 240 divisors, whose sum is σ = 188202240. Its totient is φ = 12249600.

The previous prime is 52179599. The next prime is 52179623. The reversal of 52179600 is 697125.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778767 + ... + 778833.

It is an arithmetic number, because the mean of its divisors is an integer number (784176).

Almost surely, 2^52179600 is an apocalyptic number.

52179600 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 52179600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94101120).

52179600 is an abundant number, since it is smaller than the sum of its proper divisors (136022640).

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

52179600 is a wasteful number, since it uses less digits than its factorization.

52179600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 52179600 is about 7223.5448361590. The cubic root of 52179600 is about 373.6803392131.

The spelling of 52179600 in words is "fifty-two million, one hundred seventy-nine thousand, six hundred".