87300768006144 has 1539 divisors, whose sum is σ = 326606428470231. Its totient is φ = 22388492206080.

The previous prime is 87300768006131. The next prime is 87300768006241. The reversal of 87300768006144 is 44160086700378.

The square root of 87300768006144 is 9343488.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1105073012697 + ... + 1105073012775.

Almost surely, 2^{87300768006144} is an apocalyptic number.

87300768006144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

87300768006144 is the 9343488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87300768006144

87300768006144 is an abundant number, since it is smaller than the sum of its proper divisors (239305660464087).

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

87300768006144 is an frugal number, since it uses more digits than its factorization.

87300768006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 87300768006144 in words is "eighty-seven trillion, three hundred billion, seven hundred sixty-eight million, six thousand, one hundred forty-four".