87804473819553 has 48 divisors (see below), whose sum is σ = 134353751360400. Its totient is φ = 55066525581312.

The previous prime is 87804473819537. The next prime is 87804473819597. The reversal of 87804473819553 is 35591837440878.

87804473819553 is a `hidden beast` number, since 8 + 78 + 0 + 4 + 47 + 381 + 95 + 53 = 666.

87804473819553 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1264302345744 + 86540171473809 = 1124412^2 + 9302697^2 .

It is not a de Polignac number, because 87804473819553 - 2⁴ = 87804473819537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87804473819453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3286943325 + ... + 3286970037.

It is an arithmetic number, because the mean of its divisors is an integer number (2799036486675).

Almost surely, 2^{87804473819553} is an apocalyptic number.

It is an amenable number.

87804473819553 is a deficient number, since it is larger than the sum of its proper divisors (46549277540847).

87804473819553 is a wasteful number, since it uses less digits than its factorization.

87804473819553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36258 (or 36255 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 87804473819553 in words is "eighty-seven trillion, eight hundred four billion, four hundred seventy-three million, eight hundred nineteen thousand, five hundred fifty-three".