85548960000 has 1800 divisors, whose sum is σ = 389410648704. Its totient is φ = 18247680000.

The previous prime is 85548959999. The next prime is 85548960011. The reversal of 85548960000 is 6984558.

85548960000 is a `hidden beast` number, since 8 + 554 + 8 + 96 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 199 ways as a sum of consecutive naturals, for example, 2086559980 + ... + 2086560020.

Almost surely, 2^85548960000 is an apocalyptic number.

85548960000 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 85548960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194705324352).

85548960000 is an abundant number, since it is smaller than the sum of its proper divisors (303861688704).

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

85548960000 is an equidigital number, since it uses as much as digits as its factorization.

85548960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85548960000 in words is "eighty-five billion, five hundred forty-eight million, nine hundred sixty thousand".