85193216962560 has 2496 divisors, whose sum is σ = 375365352960000. Its totient is φ = 17422476115968.

The previous prime is 85193216962541. The next prime is 85193216962573. The reversal of 85193216962560 is 6526961239158.

85193216962560 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 3 + 2 + 1 + 6 + 9 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42617916441 + ... + 42617918439.

It is an arithmetic number, because the mean of its divisors is an integer number (150386760000).

Almost surely, 2^{85193216962560} is an apocalyptic number.

85193216962560 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 85193216962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187682676480000).

85193216962560 is an abundant number, since it is smaller than the sum of its proper divisors (290172135997440).

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

85193216962560 is a wasteful number, since it uses less digits than its factorization.

85193216962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 85193216962560 in words is "eighty-five trillion, one hundred ninety-three billion, two hundred sixteen million, nine hundred sixty-two thousand, five hundred sixty".