85479314135040 has 1536 divisors, whose sum is σ = 371138364979200. Its totient is φ = 18216218787840.

The previous prime is 85479314134961. The next prime is 85479314135063. The reversal of 85479314135040 is 4053141397458.

85479314135040 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 93 + 1 + 41 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 3520407700 + ... + 3520431980.

It is an arithmetic number, because the mean of its divisors is an integer number (241626539700).

Almost surely, 2^{85479314135040} is an apocalyptic number.

85479314135040 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 85479314135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185569182489600).

85479314135040 is an abundant number, since it is smaller than the sum of its proper divisors (285659050844160).

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

85479314135040 is a wasteful number, since it uses less digits than its factorization.

85479314135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24448 (or 24422 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 85479314135040 in words is "eighty-five trillion, four hundred seventy-nine billion, three hundred fourteen million, one hundred thirty-five thousand, forty".