896125002960 has 480 divisors, whose sum is σ = 3317947637760. Its totient is φ = 199165824000.

The previous prime is 896125002953. The next prime is 896125002967. The reversal of 896125002960 is 69200521698.

It is an interprime number because it is at equal distance from previous prime (896125002953) and next prime (896125002967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896125002967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17078365 + ... + 17130755.

It is an arithmetic number, because the mean of its divisors is an integer number (6912390912).

Almost surely, 2^896125002960 is an apocalyptic number.

896125002960 is a gapful number since it is divisible by the number (80) 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 896125002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658973818880).

896125002960 is an abundant number, since it is smaller than the sum of its proper divisors (2421822634800).

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

896125002960 is a wasteful number, since it uses less digits than its factorization.

896125002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52479 (or 52462 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 896125002960 in words is "eight hundred ninety-six billion, one hundred twenty-five million, two thousand, nine hundred sixty".