85049240640 has 448 divisors, whose sum is σ = 333182976000. Its totient is φ = 17899315200.

The previous prime is 85049240623. The next prime is 85049240641. The reversal of 85049240640 is 4604294058.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85049240592 and 85049240601.

It is not an unprimeable number, because it can be changed into a prime (85049240641) 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, 43591665 + ... + 43593615.

It is an arithmetic number, because the mean of its divisors is an integer number (743712000).

Almost surely, 2^85049240640 is an apocalyptic number.

85049240640 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 85049240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166591488000).

85049240640 is an abundant number, since it is smaller than the sum of its proper divisors (248133735360).

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

85049240640 is a wasteful number, since it uses less digits than its factorization.

85049240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 85049240640 in words is "eighty-five billion, forty-nine million, two hundred forty thousand, six hundred forty".