87853552801 has 45 divisors (see below), whose sum is σ = 107548453649. Its totient is φ = 71755125288.

The previous prime is 87853552783. The next prime is 87853552811. The reversal of 87853552801 is 10825535878.

The square root of 87853552801 is 296401.

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

It is not a de Polignac number, because 87853552801 - 2²¹ = 87851455649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87853552811) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 334043796 + ... + 334044058.

Almost surely, 2^87853552801 is an apocalyptic number.

87853552801 is the 296401-st square number.

87853552801 is the 148201-st centered octagonal number.

It is an amenable number.

87853552801 is a deficient number, since it is larger than the sum of its proper divisors (19694900848).

87853552801 is an frugal number, since it uses more digits than its factorization.

87853552801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The spelling of 87853552801 in words is "eighty-seven billion, eight hundred fifty-three million, five hundred fifty-two thousand, eight hundred one".