87855912144 has 1920 divisors, whose sum is σ = 388841779200. Its totient is φ = 18274222080.

The previous prime is 87855912103. The next prime is 87855912149. The reversal of 87855912144 is 44121955878.

87855912144 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 591 + 2 + 1 + 44 = 666.

It is a super-2 number, since 2×87855912144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87855912149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2374484094 + ... + 2374484130.

It is an arithmetic number, because the mean of its divisors is an integer number (202521760).

Almost surely, 2^87855912144 is an apocalyptic number.

87855912144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87855912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194420889600).

87855912144 is an abundant number, since it is smaller than the sum of its proper divisors (300985867056).

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

87855912144 is a wasteful number, since it uses less digits than its factorization.

87855912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

It can be divided in two parts, 87855 and 912144, that added together give a palindrome (999999).

The spelling of 87855912144 in words is "eighty-seven billion, eight hundred fifty-five million, nine hundred twelve thousand, one hundred forty-four".