252457162410400 has 144 divisors (see below), whose sum is σ = 617029316596224. Its totient is φ = 100865245178880.

The previous prime is 252457162410379. The next prime is 252457162410407. The reversal of 252457162410400 is 4014261754252.

252457162410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252457162410400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252457162410407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2423156709 + ... + 2423260891.

It is an arithmetic number, because the mean of its divisors is an integer number (4284925809696).

Almost surely, 2^{252457162410400} is an apocalyptic number.

252457162410400 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 252457162410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308514658298112).

252457162410400 is an abundant number, since it is smaller than the sum of its proper divisors (364572154185824).

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

252457162410400 is a wasteful number, since it uses less digits than its factorization.

252457162410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107703 (or 107690 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 252457162410400 in words is "two hundred fifty-two trillion, four hundred fifty-seven billion, one hundred sixty-two million, four hundred ten thousand, four hundred".