85499782465032 has 256 divisors, whose sum is σ = 264223089715200. Its totient is φ = 25439329566720.

The previous prime is 85499782464997. The next prime is 85499782465057. The reversal of 85499782465032 is 23056428799458.

85499782465032 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 9 + 78 + 2 + 46 + 503 + 2 = 666.

It is a super-2 number, since 2×85499782465032² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112522608 + ... + 113279904.

It is an arithmetic number, because the mean of its divisors is an integer number (1032121444200).

Almost surely, 2^{85499782465032} 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 85499782465032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132111544857600).

85499782465032 is an abundant number, since it is smaller than the sum of its proper divisors (178723307250168).

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

85499782465032 is a wasteful number, since it uses less digits than its factorization.

85499782465032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758653 (or 758643 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 85499782465032 in words is "eighty-five trillion, four hundred ninety-nine billion, seven hundred eighty-two million, four hundred sixty-five thousand, thirty-two".