8705725392000 has 768 divisors, whose sum is σ = 35714753867520. Its totient is φ = 1836800409600.

The previous prime is 8705725391969. The next prime is 8705725392041. The reversal of 8705725392000 is 2935275078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56707344 + ... + 56860656.

It is an arithmetic number, because the mean of its divisors is an integer number (46503585765).

Almost surely, 2^{8705725392000} is an apocalyptic number.

8705725392000 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 8705725392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857376933760).

8705725392000 is an abundant number, since it is smaller than the sum of its proper divisors (27009028475520).

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

8705725392000 is a wasteful number, since it uses less digits than its factorization.

8705725392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153378 (or 153343 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 8705725392000 in words is "eight trillion, seven hundred five billion, seven hundred twenty-five million, three hundred ninety-two thousand".