87176655880336 has 225 divisors, whose sum is σ = 188639467270345. Its totient is φ = 39028007920000.

The previous prime is 87176655880313. The next prime is 87176655880343. The reversal of 87176655880336 is 63308855667178.

The square root of 87176655880336 is 9336844.

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

It can be written as a sum of positive squares in only one way, i.e., 83758298625936 + 3418357254400 = 9151956^2 + 1848880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 456422282001 + ... + 456422282191.

Almost surely, 2^{87176655880336} is an apocalyptic number.

87176655880336 is the 9336844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87176655880336

87176655880336 is an abundant number, since it is smaller than the sum of its proper divisors (101462811390009).

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

87176655880336 is an frugal number, since it uses more digits than its factorization.

87176655880336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 73.

The spelling of 87176655880336 in words is "eighty-seven trillion, one hundred seventy-six billion, six hundred fifty-five million, eight hundred eighty thousand, three hundred thirty-six".