87130218240 has 1152 divisors, whose sum is σ = 358501248000. Its totient is φ = 19858784256.

The previous prime is 87130218239. The next prime is 87130218271. The reversal of 87130218240 is 4281203178.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87130218195 and 87130218204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503642794 + ... + 503642966.

It is an arithmetic number, because the mean of its divisors is an integer number (311199000).

Almost surely, 2^87130218240 is an apocalyptic number.

87130218240 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 87130218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179250624000).

87130218240 is an abundant number, since it is smaller than the sum of its proper divisors (271371029760).

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

87130218240 is a wasteful number, since it uses less digits than its factorization.

87130218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 87130218240 in words is "eighty-seven billion, one hundred thirty million, two hundred eighteen thousand, two hundred forty".