252326651351040 has 2496 divisors, whose sum is σ = 1118698304152320. Its totient is φ = 54274009595904.

The previous prime is 252326651351029. The next prime is 252326651351041. The reversal of 252326651351040 is 40153156623252.

252326651351040 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 26 + 6 + 513 + 5 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252326651351041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37309866699 + ... + 37309873461.

Almost surely, 2^{252326651351040} is an apocalyptic number.

252326651351040 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 252326651351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559349152076160).

252326651351040 is an abundant number, since it is smaller than the sum of its proper divisors (866371652801280).

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

252326651351040 is an frugal number, since it uses more digits than its factorization.

252326651351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 252326651351040 in words is "two hundred fifty-two trillion, three hundred twenty-six billion, six hundred fifty-one million, three hundred fifty-one thousand, forty".