252236627040 has 192 divisors, whose sum is σ = 800550051840. Its totient is φ = 66755819520.

The previous prime is 252236627039. The next prime is 252236627113. The reversal of 252236627040 is 40726632252.

It is a self number, because there is not a number n which added to its sum of digits gives 252236627040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92766801 + ... + 92769519.

It is an arithmetic number, because the mean of its divisors is an integer number (4169531520).

Almost surely, 2^252236627040 is an apocalyptic number.

252236627040 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 252236627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400275025920).

252236627040 is an abundant number, since it is smaller than the sum of its proper divisors (548313424800).

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

252236627040 is a wasteful number, since it uses less digits than its factorization.

252236627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 252236627040 in words is "two hundred fifty-two billion, two hundred thirty-six million, six hundred twenty-seven thousand, forty".