87711466393600 has 1053 divisors, whose sum is σ = 262352121024357. Its totient is φ = 29000796733440.

The previous prime is 87711466393583. The next prime is 87711466393693. The reversal of 87711466393600 is 639366411778.

The square root of 87711466393600 is 9365440.

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

It can be written as a sum of positive squares in 13 ways, for example, as 71367622660096 + 16343843733504 = 8447936^2 + 4042752^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 776207667144 + ... + 776207667256.

Almost surely, 2^{87711466393600} is an apocalyptic number.

87711466393600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87711466393600 is the 9365440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87711466393600

87711466393600 is an abundant number, since it is smaller than the sum of its proper divisors (174640654630757).

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

87711466393600 is an equidigital number, since it uses as much as digits as its factorization.

87711466393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 87711466393600 in words is "eighty-seven trillion, seven hundred eleven billion, four hundred sixty-six million, three hundred ninety-three thousand, six hundred".