87180419831232 has 448 divisors, whose sum is σ = 285176898621440. Its totient is φ = 22889072295936.

The previous prime is 87180419831221. The next prime is 87180419831371. The reversal of 87180419831232 is 23213891408178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3502756644 + ... + 3502781532.

It is an arithmetic number, because the mean of its divisors is an integer number (636555577280).

Almost surely, 2^{87180419831232} 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 87180419831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142588449310720).

87180419831232 is an abundant number, since it is smaller than the sum of its proper divisors (197996478790208).

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

87180419831232 is a wasteful number, since it uses less digits than its factorization.

87180419831232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25820 (or 25810 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 87180419831232 in words is "eighty-seven trillion, one hundred eighty billion, four hundred nineteen million, eight hundred thirty-one thousand, two hundred thirty-two".