85287403362000 has 640 divisors, whose sum is σ = 318747918827520. Its totient is φ = 19215412531200.

The previous prime is 85287403361999. The next prime is 85287403362019. The reversal of 85287403362000 is 26330478258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5589310371 + ... + 5589325629.

It is an arithmetic number, because the mean of its divisors is an integer number (498043623168).

Almost surely, 2^{85287403362000} is an apocalyptic number.

85287403362000 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 85287403362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159373959413760).

85287403362000 is an abundant number, since it is smaller than the sum of its proper divisors (233460515465520).

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

85287403362000 is a wasteful number, since it uses less digits than its factorization.

85287403362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 85287403362000 in words is "eighty-five trillion, two hundred eighty-seven billion, four hundred three million, three hundred sixty-two thousand".