87410171520 has 768 divisors, whose sum is σ = 373394810880. Its totient is φ = 19105320960.

The previous prime is 87410171483. The next prime is 87410171539. The reversal of 87410171520 is 2517101478.

87410171520 is a `hidden beast` number, since 87 + 41 + 0 + 17 + 1 + 520 = 666.

It is a super-2 number, since 2×87410171520² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25036975 + ... + 25040465.

It is an arithmetic number, because the mean of its divisors is an integer number (486191160).

Almost surely, 2^87410171520 is an apocalyptic number.

87410171520 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 87410171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186697405440).

87410171520 is an abundant number, since it is smaller than the sum of its proper divisors (285984639360).

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

87410171520 is a wasteful number, since it uses less digits than its factorization.

87410171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 87410171520 its reverse (2517101478), we get a palindrome (89927272998).

The spelling of 87410171520 in words is "eighty-seven billion, four hundred ten million, one hundred seventy-one thousand, five hundred twenty".