85054402125 has 576 divisors, whose sum is σ = 212533880832. Its totient is φ = 32223744000.

The previous prime is 85054402061. The next prime is 85054402127. The reversal of 85054402125 is 52120445058.

85054402125 is a `hidden beast` number, since 85 + 0 + 54 + 402 + 125 = 666.

It is not a de Polignac number, because 85054402125 - 2⁶ = 85054402061 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85054402125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85054402127) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 381409764 + ... + 381409986.

It is an arithmetic number, because the mean of its divisors is an integer number (368982432).

Almost surely, 2^85054402125 is an apocalyptic number.

85054402125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85054402125 is an abundant number, since it is smaller than the sum of its proper divisors (127479478707).

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

85054402125 is a wasteful number, since it uses less digits than its factorization.

85054402125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 85054402125 in words is "eighty-five billion, fifty-four million, four hundred two thousand, one hundred twenty-five".