87173441538624 has 1344 divisors, whose sum is σ = 315772721971200. Its totient is φ = 23094059433984.

The previous prime is 87173441538613. The next prime is 87173441538629. The reversal of 87173441538624 is 42683514437178.

87173441538624 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 34 + 4 + 1 + 538 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (87173441538629) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86054729542 + ... + 86054730554.

Almost surely, 2^{87173441538624} is an apocalyptic number.

87173441538624 is a gapful number since it is divisible by the number (84) 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 87173441538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886360985600).

87173441538624 is an abundant number, since it is smaller than the sum of its proper divisors (228599280432576).

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

87173441538624 is a wasteful number, since it uses less digits than its factorization.

87173441538624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1384 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 87173441538624 in words is "eighty-seven trillion, one hundred seventy-three billion, four hundred forty-one million, five hundred thirty-eight thousand, six hundred twenty-four".