88544120832 has 312 divisors, whose sum is σ = 282628030464. Its totient is φ = 26566459392.

The previous prime is 88544120759. The next prime is 88544120851. The reversal of 88544120832 is 23802144588.

88544120832 is a `hidden beast` number, since 8 + 8 + 544 + 1 + 20 + 83 + 2 = 666.

It is a super-2 number, since 2×88544120832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14410753 + ... + 14416895.

It is an arithmetic number, because the mean of its divisors is an integer number (905859072).

Almost surely, 2^88544120832 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 88544120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141314015232).

88544120832 is an abundant number, since it is smaller than the sum of its proper divisors (194083909632).

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

88544120832 is a wasteful number, since it uses less digits than its factorization.

88544120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 88544120832 in words is "eighty-eight billion, five hundred forty-four million, one hundred twenty thousand, eight hundred thirty-two".