85508562503056 has 225 divisors, whose sum is σ = 212490640529153. Its totient is φ = 33307256801280.

The previous prime is 85508562503053. The next prime is 85508562503123. The reversal of 85508562503056 is 65030526580558.

It is a happy number.

The square root of 85508562503056 is 9247084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80480922285456 + 5027640217600 = 8971116^2 + 2242240^2 .

It is a super-2 number, since 2×85508562503056² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85508562503053) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19936710960 + ... + 19936715248.

Almost surely, 2^{85508562503056} is an apocalyptic number.

85508562503056 is the 9247084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85508562503056

85508562503056 is an abundant number, since it is smaller than the sum of its proper divisors (126982078026097).

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

85508562503056 is an frugal number, since it uses more digits than its factorization.

85508562503056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 58.

The spelling of 85508562503056 in words is "eighty-five trillion, five hundred eight billion, five hundred sixty-two million, five hundred three thousand, fifty-six".