85055553451638 has 2304 divisors, whose sum is σ = 276112392192000. Its totient is φ = 19237901760000.

The previous prime is 85055553451633. The next prime is 85055553451709. The reversal of 85055553451638 is 83615435555058.

85055553451638 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 5 + 55 + 34 + 516 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85055553451633) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 563281810863 + ... + 563281811013.

It is an arithmetic number, because the mean of its divisors is an integer number (119840448000).

Almost surely, 2^{85055553451638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85055553451638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138056196096000).

85055553451638 is an abundant number, since it is smaller than the sum of its proper divisors (191056838740362).

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

85055553451638 is a wasteful number, since it uses less digits than its factorization.

85055553451638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 216000000, while the sum is 63.

The spelling of 85055553451638 in words is "eighty-five trillion, fifty-five billion, five hundred fifty-three million, four hundred fifty-one thousand, six hundred thirty-eight".