85103731440 has 960 divisors, whose sum is σ = 373726080000. Its totient is φ = 16852893696.

The previous prime is 85103731439. The next prime is 85103731483. The reversal of 85103731440 is 4413730158.

It is a happy number.

85103731440 is a `hidden beast` number, since 85 + 103 + 7 + 31 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85103731395 and 85103731404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170548311 + ... + 170548809.

It is an arithmetic number, because the mean of its divisors is an integer number (389298000).

Almost surely, 2^85103731440 is an apocalyptic number.

85103731440 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 85103731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040000).

85103731440 is an abundant number, since it is smaller than the sum of its proper divisors (288622348560).

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

85103731440 is a wasteful number, since it uses less digits than its factorization.

85103731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 85103731440 in words is "eighty-five billion, one hundred three million, seven hundred thirty-one thousand, four hundred forty".