252953704080 has 720 divisors, whose sum is σ = 1104019338240. Its totient is φ = 50745784320.

The previous prime is 252953704057. The next prime is 252953704121. The reversal of 252953704080 is 80407359252.

252953704080 is a `hidden beast` number, since 2 + 529 + 5 + 3 + 7 + 0 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17678209 + ... + 17692511.

It is an arithmetic number, because the mean of its divisors is an integer number (1533360192).

Almost surely, 2^252953704080 is an apocalyptic number.

252953704080 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 252953704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552009669120).

252953704080 is an abundant number, since it is smaller than the sum of its proper divisors (851065634160).

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

252953704080 is a wasteful number, since it uses less digits than its factorization.

252953704080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14380 (or 14360 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 252953704080 in words is "two hundred fifty-two billion, nine hundred fifty-three million, seven hundred four thousand, eighty".