52119680 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 19353600.

The previous prime is 52119677. The next prime is 52119689. The reversal of 52119680 is 8691125.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52119680² = 5432922086604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (52119689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734045 + ... + 734115.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^52119680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

52119680 is an abundant number, since it is smaller than the sum of its proper divisors (81834880).

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

52119680 is a wasteful number, since it uses less digits than its factorization.

52119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 52119680 is about 7219.3960966275. The cubic root of 52119680 is about 373.5372468794.

The spelling of 52119680 in words is "fifty-two million, one hundred nineteen thousand, six hundred eighty".