85719929972040 has 2304 divisors, whose sum is σ = 361680463872000. Its totient is φ = 17493208104960.

The previous prime is 85719929972029. The next prime is 85719929972087. The reversal of 85719929972040 is 4027992991758.

It is a happy number.

85719929972040 is a `hidden beast` number, since 8 + 571 + 9 + 9 + 2 + 9 + 9 + 7 + 2 + 0 + 40 = 666.

It is a super-2 number, since 2×85719929972040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 85719929972040.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 674960078457 + ... + 674960078583.

It is an arithmetic number, because the mean of its divisors is an integer number (156979368000).

Almost surely, 2^{85719929972040} 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 85719929972040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180840231936000).

85719929972040 is an abundant number, since it is smaller than the sum of its proper divisors (275960533899960).

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

85719929972040 is a wasteful number, since it uses less digits than its factorization.

85719929972040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 85719929972040 in words is "eighty-five trillion, seven hundred nineteen billion, nine hundred twenty-nine million, nine hundred seventy-two thousand, forty".