85870787040 has 768 divisors, whose sum is σ = 325912688640. Its totient is φ = 21061877760.

The previous prime is 85870787029. The next prime is 85870787047. The reversal of 85870787040 is 4078707858.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85870787047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435892222 + ... + 435892418.

It is an arithmetic number, because the mean of its divisors is an integer number (424365480).

Almost surely, 2^85870787040 is an apocalyptic number.

85870787040 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 85870787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162956344320).

85870787040 is an abundant number, since it is smaller than the sum of its proper divisors (240041901600).

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

85870787040 is a wasteful number, since it uses less digits than its factorization.

85870787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 85870787040 in words is "eighty-five billion, eight hundred seventy million, seven hundred eighty-seven thousand, forty".