87187001410404 has 243 divisors, whose sum is σ = 270597824028441. Its totient is φ = 23597472225600.

The previous prime is 87187001410387. The next prime is 87187001410417. The reversal of 87187001410404 is 40401410078178.

The square root of 87187001410404 is 9337398.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68202855284004 + 18984146126400 = 8258502^2 + 4357080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87187001410404.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7451237754 + ... + 7451249454.

Almost surely, 2^{87187001410404} is an apocalyptic number.

87187001410404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

87187001410404 is the 9337398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87187001410404

87187001410404 is an abundant number, since it is smaller than the sum of its proper divisors (183410822618037).

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

87187001410404 is a wasteful number, since it uses less digits than its factorization.

87187001410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23464 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 87187001410404 in words is "eighty-seven trillion, one hundred eighty-seven billion, one million, four hundred ten thousand, four hundred four".