87356243520 has 1008 divisors, whose sum is σ = 398695974768. Its totient is φ = 17340825600.

The previous prime is 87356243501. The next prime is 87356243531. The reversal of 87356243520 is 2534265378.

87356243520 is a `hidden beast` number, since 8 + 7 + 356 + 243 + 52 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1117698624 + 86238544896 = 33432^2 + 293664^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×87356243520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31186120 + ... + 31188920.

It is an arithmetic number, because the mean of its divisors is an integer number (395531721).

Almost surely, 2^87356243520 is an apocalyptic number.

87356243520 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 87356243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199347987384).

87356243520 is an abundant number, since it is smaller than the sum of its proper divisors (311339731248).

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

87356243520 is a wasteful number, since it uses less digits than its factorization.

87356243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 87356243520 in words is "eighty-seven billion, three hundred fifty-six million, two hundred forty-three thousand, five hundred twenty".