87419288880 has 1200 divisors, whose sum is σ = 390640783104. Its totient is φ = 17988687360.

The previous prime is 87419288851. The next prime is 87419288893. The reversal of 87419288880 is 8888291478.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 848730909 + ... + 848731011.

Almost surely, 2^87419288880 is an apocalyptic number.

87419288880 is a gapful number since it is divisible by the number (80) 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 87419288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195320391552).

87419288880 is an abundant number, since it is smaller than the sum of its proper divisors (303221494224).

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

87419288880 is a wasteful number, since it uses less digits than its factorization.

87419288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 87419288880 in words is "eighty-seven billion, four hundred nineteen million, two hundred eighty-eight thousand, eight hundred eighty".