252522215040 has 128 divisors (see below), whose sum is σ = 805196257920. Its totient is φ = 67315691520.

The previous prime is 252522215027. The next prime is 252522215063. The reversal of 252522215040 is 40512225252.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 252522214989 and 252522215007.

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, 5855637 + ... + 5898603.

It is an arithmetic number, because the mean of its divisors is an integer number (6290595765).

Almost surely, 2^252522215040 is an apocalyptic number.

252522215040 is a gapful number since it is divisible by the number (20) 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 252522215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402598128960).

252522215040 is an abundant number, since it is smaller than the sum of its proper divisors (552674042880).

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

252522215040 is a wasteful number, since it uses less digits than its factorization.

252522215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46050 (or 46038 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 252522215040 in words is "two hundred fifty-two billion, five hundred twenty-two million, two hundred fifteen thousand, forty".