87547422606336 has 5280 divisors, whose sum is σ = 385408263905280. Its totient is φ = 19091187302400.

The previous prime is 87547422606323. The next prime is 87547422606389. The reversal of 87547422606336 is 63360622474578.

87547422606336 is a `hidden beast` number, since 8 + 7 + 5 + 4 + 74 + 226 + 0 + 6 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2366146556910 + ... + 2366146556946.

It is an arithmetic number, because the mean of its divisors is an integer number (72993989376).

Almost surely, 2^{87547422606336} 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 87547422606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192704131952640).

87547422606336 is an abundant number, since it is smaller than the sum of its proper divisors (297860841298944).

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

87547422606336 is a wasteful number, since it uses less digits than its factorization.

87547422606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 87547422606336 in words is "eighty-seven trillion, five hundred forty-seven billion, four hundred twenty-two million, six hundred six thousand, three hundred thirty-six".