87468062500 has 315 divisors, whose sum is σ = 241119159729. Its totient is φ = 27682200000.

The previous prime is 87468062483. The next prime is 87468062519. The reversal of 87468062500 is 526086478.

The square root of 87468062500 is 295750.

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

It can be written as a sum of positive squares in 17 ways, for example, as 14641484004 + 72826578496 = 121002^2 + 269864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6728312494 + ... + 6728312506.

Almost surely, 2^87468062500 is an apocalyptic number.

87468062500 is the 295750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87468062500

87468062500 is an abundant number, since it is smaller than the sum of its proper divisors (153651097229).

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

87468062500 is an frugal number, since it uses more digits than its factorization.

87468062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 87468062500 in words is "eighty-seven billion, four hundred sixty-eight million, sixty-two thousand, five hundred".