848961576960 has 224 divisors, whose sum is σ = 3104587412352. Its totient is φ = 194048163840.

The previous prime is 848961576937. The next prime is 848961577021. The reversal of 848961576960 is 69675169848.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366670 + ... + 1353650.

Almost surely, 2^848961576960 is an apocalyptic number.

848961576960 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 848961576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552293706176).

848961576960 is an abundant number, since it is smaller than the sum of its proper divisors (2255625835392).

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

848961576960 is an equidigital number, since it uses as much as digits as its factorization.

848961576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987022 (or 986998 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 848961576960 in words is "eight hundred forty-eight billion, nine hundred sixty-one million, five hundred seventy-six thousand, nine hundred sixty".