85723474000 has 160 divisors (see below), whose sum is σ = 209286604800. Its totient is φ = 33959232000.

The previous prime is 85723473977. The next prime is 85723474007. The reversal of 85723474000 is 47432758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85723474007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133317679 + ... + 133318321.

It is an arithmetic number, because the mean of its divisors is an integer number (1308041280).

Almost surely, 2^85723474000 is an apocalyptic number.

85723474000 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 85723474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104643302400).

85723474000 is an abundant number, since it is smaller than the sum of its proper divisors (123563130800).

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

85723474000 is a wasteful number, since it uses less digits than its factorization.

85723474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 85723474000 in words is "eighty-five billion, seven hundred twenty-three million, four hundred seventy-four thousand".