85288032463104 has 405 divisors, whose sum is σ = 258935146848147. Its totient is φ = 27921780200448.

The previous prime is 85288032463069. The next prime is 85288032463121. The reversal of 85288032463104 is 40136423088258.

The square root of 85288032463104 is 9235152.

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

85288032463104 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 80 + 3 + 246 + 310 + 4 = 666.

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

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 44 ways as a sum of consecutive naturals, for example, 78461850849 + ... + 78461851935.

Almost surely, 2^{85288032463104} is an apocalyptic number.

85288032463104 is the 9235152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85288032463104

85288032463104 is an abundant number, since it is smaller than the sum of its proper divisors (173647114385043).

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

85288032463104 is an frugal number, since it uses more digits than its factorization.

85288032463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

It can be divided in two parts, 852880 and 32463104, that added together give a square (33315984 = 5772²).

The spelling of 85288032463104 in words is "eighty-five trillion, two hundred eighty-eight billion, thirty-two million, four hundred sixty-three thousand, one hundred four".