252400925967360 has 352 divisors, whose sum is σ = 852492712114560. Its totient is φ = 63560701181952.

The previous prime is 252400925967329. The next prime is 252400925967361. The reversal of 252400925967360 is 63769529004252.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 252400925967294 and 252400925967303.

It is not an unprimeable number, because it can be changed into a prime (252400925967361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89964354 + ... + 92727486.

It is an arithmetic number, because the mean of its divisors is an integer number (2421854295780).

Almost surely, 2^{252400925967360} is an apocalyptic number.

252400925967360 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 252400925967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426246356057280).

252400925967360 is an abundant number, since it is smaller than the sum of its proper divisors (600091786147200).

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

252400925967360 is a wasteful number, since it uses less digits than its factorization.

252400925967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763493 (or 2763475 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 252400925967360 in words is "two hundred fifty-two trillion, four hundred billion, nine hundred twenty-five million, nine hundred sixty-seven thousand, three hundred sixty".