87219469680 has 1280 divisors, whose sum is σ = 362033971200. Its totient is φ = 16907304960.

The previous prime is 87219469639. The next prime is 87219469693. The reversal of 87219469680 is 8696491278.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1104043881 + ... + 1104043959.

It is an arithmetic number, because the mean of its divisors is an integer number (282839040).

Almost surely, 2^87219469680 is an apocalyptic number.

87219469680 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 87219469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016985600).

87219469680 is an abundant number, since it is smaller than the sum of its proper divisors (274814501520).

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

87219469680 is a wasteful number, since it uses less digits than its factorization.

87219469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 87219469680 in words is "eighty-seven billion, two hundred nineteen million, four hundred sixty-nine thousand, six hundred eighty".