85878156672 has 576 divisors, whose sum is σ = 312534593280. Its totient is φ = 22155724800.

The previous prime is 85878156671. The next prime is 85878156703. The reversal of 85878156672 is 27665187858.

It is a tau number, because it is divible by the number of its divisors (576).

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 (85878156671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276135397 + ... + 276135707.

It is an arithmetic number, because the mean of its divisors is an integer number (542594780).

Almost surely, 2^85878156672 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 85878156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156267296640).

85878156672 is an abundant number, since it is smaller than the sum of its proper divisors (226656436608).

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

85878156672 is a wasteful number, since it uses less digits than its factorization.

85878156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 617 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 85878156672 in words is "eighty-five billion, eight hundred seventy-eight million, one hundred fifty-six thousand, six hundred seventy-two".