85208048400 has 120 divisors (see below), whose sum is σ = 278757408384. Its totient is φ = 22238681600.

The previous prime is 85208048383. The next prime is 85208048417. The reversal of 85208048400 is 484080258.

It is an interprime number because it is at equal distance from previous prime (85208048383) and next prime (85208048417).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698991 + ... + 811790.

Almost surely, 2^85208048400 is an apocalyptic number.

85208048400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85208048400 is an abundant number, since it is smaller than the sum of its proper divisors (193549359984).

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

85208048400 is a wasteful number, since it uses less digits than its factorization.

85208048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510849 (or 1510838 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 85208048400 in words is "eighty-five billion, two hundred eight million, forty-eight thousand, four hundred".