87484095276480 has 840 divisors, whose sum is σ = 353197587514512. Its totient is φ = 19873431502848.

The previous prime is 87484095276407. The next prime is 87484095276493. The reversal of 87484095276480 is 8467259048478.

87484095276480 is a `hidden beast` number, since 8 + 7 + 484 + 0 + 9 + 5 + 2 + 7 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 87484095276399 and 87484095276408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1127086632 + ... + 1127164248.

Almost surely, 2^{87484095276480} is an apocalyptic number.

87484095276480 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 87484095276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176598793757256).

87484095276480 is an abundant number, since it is smaller than the sum of its proper divisors (265713492238032).

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

87484095276480 is a wasteful number, since it uses less digits than its factorization.

87484095276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77831 (or 77797 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 87484095276480 in words is "eighty-seven trillion, four hundred eighty-four billion, ninety-five million, two hundred seventy-six thousand, four hundred eighty".