85792399400 has 96 divisors (see below), whose sum is σ = 210736512000. Its totient is φ = 32428542720.

The previous prime is 85792399387. The next prime is 85792399411. The reversal of 85792399400 is 499329758.

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, 115241 + ... + 429959.

It is an arithmetic number, because the mean of its divisors is an integer number (2195172000).

Almost surely, 2^85792399400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85792399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105368256000).

85792399400 is an abundant number, since it is smaller than the sum of its proper divisors (124944112600).

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

85792399400 is a wasteful number, since it uses less digits than its factorization.

85792399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314811 (or 314802 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 85792399400 in words is "eighty-five billion, seven hundred ninety-two million, three hundred ninety-nine thousand, four hundred".