87889825296 has 360 divisors, whose sum is σ = 321542544960. Its totient is φ = 22171387392.

The previous prime is 87889825267. The next prime is 87889825297. The reversal of 87889825296 is 69252898878.

It is a happy number.

87889825296 is a `hidden beast` number, since 8 + 7 + 8 + 8 + 98 + 2 + 529 + 6 = 666.

It is a super-2 number, since 2×87889825296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87889825297) 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, 2088915 + ... + 2130573.

It is an arithmetic number, because the mean of its divisors is an integer number (893173736).

Almost surely, 2^87889825296 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 87889825296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160771272480).

87889825296 is an abundant number, since it is smaller than the sum of its proper divisors (233652719664).

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

87889825296 is a wasteful number, since it uses less digits than its factorization.

87889825296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41723 (or 41707 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 87889825296 in words is "eighty-seven billion, eight hundred eighty-nine million, eight hundred twenty-five thousand, two hundred ninety-six".