85470251981400 has 1536 divisors, whose sum is σ = 353943296179200. Its totient is φ = 18682715750400.

The previous prime is 85470251981381. The next prime is 85470251981417. The reversal of 85470251981400 is 418915207458.

85470251981400 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 0 + 2 + 519 + 81 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9535893319 + ... + 9535902281.

It is an arithmetic number, because the mean of its divisors is an integer number (230431833450).

Almost surely, 2^{85470251981400} 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 85470251981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176971648089600).

85470251981400 is an abundant number, since it is smaller than the sum of its proper divisors (268473044197800).

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

85470251981400 is a wasteful number, since it uses less digits than its factorization.

85470251981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85470251981400 in words is "eighty-five trillion, four hundred seventy billion, two hundred fifty-one million, nine hundred eighty-one thousand, four hundred".