85987229429376 has 1344 divisors, whose sum is σ = 293607460419840. Its totient is φ = 24839505100800.

The previous prime is 85987229429351. The next prime is 85987229429383. The reversal of 85987229429376 is 67392492278958.

85987229429376 is a `hidden beast` number, since 8 + 5 + 98 + 72 + 2 + 9 + 429 + 37 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85987229429295 and 85987229429304.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 198584825256 + ... + 198584825688.

It is an arithmetic number, because the mean of its divisors is an integer number (218457931860).

Almost surely, 2^{85987229429376} 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 85987229429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146803730209920).

85987229429376 is an abundant number, since it is smaller than the sum of its proper divisors (207620230990464).

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

85987229429376 is an equidigital number, since it uses as much as digits as its factorization.

85987229429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 559 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 85987229429376 in words is "eighty-five trillion, nine hundred eighty-seven billion, two hundred twenty-nine million, four hundred twenty-nine thousand, three hundred seventy-six".