9025252346880 has 2464 divisors, whose sum is σ = 41816571383808. Its totient is φ = 1813089484800.

The previous prime is 9025252346839. The next prime is 9025252346921. The reversal of 9025252346880 is 886432525209.

9025252346880 is a `hidden beast` number, since 9 + 0 + 2 + 52 + 52 + 3 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9025252346839) and next prime (9025252346921).

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8909429254 + ... + 8909430266.

Almost surely, 2^{9025252346880} is an apocalyptic number.

9025252346880 is a gapful number since it is divisible by the number (90) 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 9025252346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908285691904).

9025252346880 is an abundant number, since it is smaller than the sum of its proper divisors (32791319036928).

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

9025252346880 is a wasteful number, since it uses less digits than its factorization.

9025252346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 9025252346880 in words is "nine trillion, twenty-five billion, two hundred fifty-two million, three hundred forty-six thousand, eight hundred eighty".