854952088536 has 448 divisors, whose sum is σ = 3113822342400. Its totient is φ = 213611883264.

The previous prime is 854952088519. The next prime is 854952088537. The reversal of 854952088536 is 635880259458.

854952088536 is a `hidden beast` number, since 8 + 5 + 4 + 95 + 2 + 0 + 8 + 8 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854952088537) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10041135 + ... + 10125921.

It is an arithmetic number, because the mean of its divisors is an integer number (6950496300).

Almost surely, 2^854952088536 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 854952088536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556911171200).

854952088536 is an abundant number, since it is smaller than the sum of its proper divisors (2258870253864).

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

854952088536 is a wasteful number, since it uses less digits than its factorization.

854952088536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84850 (or 84831 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 854952088536 in words is "eight hundred fifty-four billion, nine hundred fifty-two million, eighty-eight thousand, five hundred thirty-six".