85723402632 has 128 divisors (see below), whose sum is σ = 259499116800. Its totient is φ = 23036755968.

The previous prime is 85723402591. The next prime is 85723402637. The reversal of 85723402632 is 23620432758.

It is a super-3 number, since 3×85723402632³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85723402637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4826344 + ... + 4844072.

It is an arithmetic number, because the mean of its divisors is an integer number (2027336850).

Almost surely, 2^85723402632 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 85723402632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129749558400).

85723402632 is an abundant number, since it is smaller than the sum of its proper divisors (173775714168).

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

85723402632 is a wasteful number, since it uses less digits than its factorization.

85723402632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 85723402632 in words is "eighty-five billion, seven hundred twenty-three million, four hundred two thousand, six hundred thirty-two".