86961241528320 has 96 divisors (see below), whose sum is σ = 278208034518960. Its totient is φ = 23189664399360.

The previous prime is 86961241528303. The next prime is 86961241528361. The reversal of 86961241528320 is 2382514216968.

86961241528320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1415354071 + ... + 1415415510.

Almost surely, 2^{86961241528320} is an apocalyptic number.

86961241528320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86961241528320 is an abundant number, since it is smaller than the sum of its proper divisors (191246792990640).

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

86961241528320 is a wasteful number, since it uses less digits than its factorization.

86961241528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830769611 (or 2830769591 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 86961241528320 in words is "eighty-six trillion, nine hundred sixty-one billion, two hundred forty-one million, five hundred twenty-eight thousand, three hundred twenty".