85901541260 has 144 divisors (see below), whose sum is σ = 195436317888. Its totient is φ = 31654402560.

The previous prime is 85901541259. The next prime is 85901541289. The reversal of 85901541260 is 6214510958.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140132714 + ... + 140133326.

It is an arithmetic number, because the mean of its divisors is an integer number (1357196652).

Almost surely, 2^85901541260 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 85901541260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97718158944).

85901541260 is an abundant number, since it is smaller than the sum of its proper divisors (109534776628).

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

85901541260 is a wasteful number, since it uses less digits than its factorization.

85901541260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 85901541260 in words is "eighty-five billion, nine hundred one million, five hundred forty-one thousand, two hundred sixty".