85174268427600 has 480 divisors, whose sum is σ = 305890641936384. Its totient is φ = 20077047244800.

The previous prime is 85174268427509. The next prime is 85174268427653. The reversal of 85174268427600 is 672486247158.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753544689 + ... + 753657711.

Almost surely, 2^{85174268427600} is an apocalyptic number.

85174268427600 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 85174268427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152945320968192).

85174268427600 is an abundant number, since it is smaller than the sum of its proper divisors (220716373508784).

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

85174268427600 is a wasteful number, since it uses less digits than its factorization.

85174268427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114635 (or 114624 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 85174268427600 in words is "eighty-five trillion, one hundred seventy-four billion, two hundred sixty-eight million, four hundred twenty-seven thousand, six hundred".