85783515040440 has 640 divisors, whose sum is σ = 331503657408000. Its totient is φ = 19489769137152.

The previous prime is 85783515040403. The next prime is 85783515040469. The reversal of 85783515040440 is 4404051538758.

It is a happy number.

85783515040440 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 3 + 5 + 150 + 40 + 440 = 666.

It is a super-2 number, since 2×85783515040440² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3214899339 + ... + 3214926021.

It is an arithmetic number, because the mean of its divisors is an integer number (517974464700).

Almost surely, 2^{85783515040440} 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 85783515040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165751828704000).

85783515040440 is an abundant number, since it is smaller than the sum of its proper divisors (245720142367560).

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

85783515040440 is a wasteful number, since it uses less digits than its factorization.

85783515040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27561 (or 27548 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 85783515040440 in words is "eighty-five trillion, seven hundred eighty-three billion, five hundred fifteen million, forty thousand, four hundred forty".