85764141840 has 320 divisors, whose sum is σ = 303811554816. Its totient is φ = 19826835456.

The previous prime is 85764141811. The next prime is 85764141893. The reversal of 85764141840 is 4814146758.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85764141840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29541829 + ... + 29544731.

Almost surely, 2^85764141840 is an apocalyptic number.

85764141840 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 85764141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151905777408).

85764141840 is an abundant number, since it is smaller than the sum of its proper divisors (218047412976).

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

85764141840 is a wasteful number, since it uses less digits than its factorization.

85764141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 85764141840 in words is "eighty-five billion, seven hundred sixty-four million, one hundred forty-one thousand, eight hundred forty".