85715146346380 has 96 divisors (see below), whose sum is σ = 192572137497600. Its totient is φ = 31933716037632.

The previous prime is 85715146346369. The next prime is 85715146346393. The reversal of 85715146346380 is 8364364151758.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390340456 + ... + 390559984.

It is an arithmetic number, because the mean of its divisors is an integer number (2005959765600).

Almost surely, 2^{85715146346380} 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 85715146346380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96286068748800).

85715146346380 is an abundant number, since it is smaller than the sum of its proper divisors (106856991151220).

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

85715146346380 is a wasteful number, since it uses less digits than its factorization.

85715146346380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231491 (or 231489 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 85715146346380 in words is "eighty-five trillion, seven hundred fifteen billion, one hundred forty-six million, three hundred forty-six thousand, three hundred eighty".