85699747381248 has 2100 divisors, whose sum is σ = 351199733762808. Its totient is φ = 20547391979520.

The previous prime is 85699747381207. The next prime is 85699747381267. The reversal of 85699747381248 is 84218374799658.

85699747381248 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 97 + 473 + 8 + 12 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (5852528640) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6592288260090 + ... + 6592288260102.

Almost surely, 2^{85699747381248} is an apocalyptic number.

85699747381248 is a gapful number since it is divisible by the number (88) 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 85699747381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175599866881404).

85699747381248 is an abundant number, since it is smaller than the sum of its proper divisors (265499986381560).

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

85699747381248 is an frugal number, since it uses more digits than its factorization.

85699747381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 85699747381248 in words is "eighty-five trillion, six hundred ninety-nine billion, seven hundred forty-seven million, three hundred eighty-one thousand, two hundred forty-eight".