85387690156032 has 2016 divisors, whose sum is σ = 301593312244224. Its totient is φ = 23932462694400.

The previous prime is 85387690156007. The next prime is 85387690156091. The reversal of 85387690156032 is 23065109678358.

85387690156032 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 7 + 6 + 9 + 0 + 15 + 603 + 2 = 666.

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 143 ways as a sum of consecutive naturals, for example, 651814428607 + ... + 651814428737.

It is an arithmetic number, because the mean of its divisors is an integer number (149599857264).

Almost surely, 2^{85387690156032} 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 85387690156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796656122112).

85387690156032 is an abundant number, since it is smaller than the sum of its proper divisors (216205622088192).

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

85387690156032 is a wasteful number, since it uses less digits than its factorization.

85387690156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 85387690156032 in words is "eighty-five trillion, three hundred eighty-seven billion, six hundred ninety million, one hundred fifty-six thousand, thirty-two".