1252466530560 has 1440 divisors, whose sum is σ = 5360005728000. Its totient is φ = 278970531840.

The previous prime is 1252466530507. The next prime is 1252466530573. The reversal of 1252466530560 is 650356642521.

1252466530560 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 4 + 66 + 530 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1458051411 + ... + 1458052269.

It is an arithmetic number, because the mean of its divisors is an integer number (3722226200).

Almost surely, 2^{1252466530560} is an apocalyptic number.

1252466530560 is a gapful number since it is divisible by the number (10) 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 1252466530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680002864000).

1252466530560 is an abundant number, since it is smaller than the sum of its proper divisors (4107539197440).

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

1252466530560 is an frugal number, since it uses more digits than its factorization.

1252466530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 917 counting only the distinct ones).

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

The spelling of 1252466530560 in words is "one trillion, two hundred fifty-two billion, four hundred sixty-six million, five hundred thirty thousand, five hundred sixty".