87539226937600 has 81 divisors (see below), whose sum is σ = 216675117343083. Its totient is φ = 35015391375360.

The previous prime is 87539226937567. The next prime is 87539226937601. The reversal of 87539226937600 is 673962293578.

The square root of 87539226937600 is 9356240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23816430123264 + 63722796814336 = 4880208^2 + 7982656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87539226937601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 748440724 + ... + 748557676.

Almost surely, 2^{87539226937600} is an apocalyptic number.

87539226937600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87539226937600 is the 9356240-th square number.

It is an amenable number.

87539226937600 is an abundant number, since it is smaller than the sum of its proper divisors (129135890405483).

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

87539226937600 is an frugal number, since it uses more digits than its factorization.

87539226937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233932 (or 116960 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 67.

The spelling of 87539226937600 in words is "eighty-seven trillion, five hundred thirty-nine billion, two hundred twenty-six million, nine hundred thirty-seven thousand, six hundred".