252019680384 has 128 divisors (see below), whose sum is σ = 699202068480. Its totient is φ = 80277120000.

The previous prime is 252019680371. The next prime is 252019680391. The reversal of 252019680384 is 483086910252.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9587259 + ... + 9613509.

It is an arithmetic number, because the mean of its divisors is an integer number (5462516160).

Almost surely, 2^252019680384 is an apocalyptic number.

252019680384 is a gapful number since it is divisible by the number (24) 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 252019680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349601034240).

252019680384 is an abundant number, since it is smaller than the sum of its proper divisors (447182388096).

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

252019680384 is a wasteful number, since it uses less digits than its factorization.

252019680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27378 (or 27366 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 252019680384 in words is "two hundred fifty-two billion, nineteen million, six hundred eighty thousand, three hundred eighty-four".