85486737840 has 320 divisors, whose sum is σ = 310471557120. Its totient is φ = 19054586880.

The previous prime is 85486737827. The next prime is 85486737841. The reversal of 85486737840 is 4873768458.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (85486737841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12584845 + ... + 12591635.

It is an arithmetic number, because the mean of its divisors is an integer number (970223616).

Almost surely, 2^85486737840 is an apocalyptic number.

85486737840 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 85486737840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155235778560).

85486737840 is an abundant number, since it is smaller than the sum of its proper divisors (224984819280).

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

85486737840 is a wasteful number, since it uses less digits than its factorization.

85486737840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 85486737840 in words is "eighty-five billion, four hundred eighty-six million, seven hundred thirty-seven thousand, eight hundred forty".