85293332400 has 120 divisors (see below), whose sum is σ = 280607525584. Its totient is φ = 22130150400.

The previous prime is 85293332387. The next prime is 85293332417. The reversal of 85293332400 is 423339258.

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, 916111 + ... + 1004910.

Almost surely, 2^85293332400 is an apocalyptic number.

85293332400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85293332400 is an abundant number, since it is smaller than the sum of its proper divisors (195314193184).

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

85293332400 is a wasteful number, since it uses less digits than its factorization.

85293332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921079 (or 1921068 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 85293332400 in words is "eighty-five billion, two hundred ninety-three million, three hundred thirty-two thousand, four hundred".