252351163011420 has 288 divisors, whose sum is σ = 854985223572480. Its totient is φ = 59717505415680.

The previous prime is 252351163011413. The next prime is 252351163011491. The reversal of 252351163011420 is 24110361153252.

252351163011420 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 5 + 1 + 1 + 630 + 1 + 14 + 2 + 0 = 666.

It is a super-2 number, since 2×252351163011420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141210717 + ... + 142986603.

It is an arithmetic number, because the mean of its divisors is an integer number (2968698692960).

Almost surely, 2^{252351163011420} is an apocalyptic number.

252351163011420 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 252351163011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427492611786240).

252351163011420 is an abundant number, since it is smaller than the sum of its proper divisors (602634060561060).

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

252351163011420 is a wasteful number, since it uses less digits than its factorization.

252351163011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777625 (or 1777620 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 252351163011420 in words is "two hundred fifty-two trillion, three hundred fifty-one billion, one hundred sixty-three million, eleven thousand, four hundred twenty".