87206284801 has 12 divisors (see below), whose sum is σ = 90347969452. Its totient is φ = 84170386944.

The previous prime is 87206284787. The next prime is 87206284807. The reversal of 87206284801 is 10848260278.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11984994576 + 75221290225 = 109476^2 + 274265^2 .

It is not a de Polignac number, because 87206284801 - 2¹⁵ = 87206252033 is a prime.

It is a super-2 number, since 2×87206284801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87206284807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2689381 + ... + 2721613.

Almost surely, 2^87206284801 is an apocalyptic number.

It is an amenable number.

87206284801 is a deficient number, since it is larger than the sum of its proper divisors (3141684651).

87206284801 is a wasteful number, since it uses less digits than its factorization.

87206284801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35508 (or 35479 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 87206284801 in words is "eighty-seven billion, two hundred six million, two hundred eighty-four thousand, eight hundred one".