86739598080000 has 1440 divisors, whose sum is σ = 319814689914720. Its totient is φ = 22635970560000.

The previous prime is 86739598079891. The next prime is 86739598080029. The reversal of 86739598080000 is 8089593768.

86739598080000 is a `hidden beast` number, since 8 + 6 + 7 + 39 + 598 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a self number, because there is not a number n which added to its sum of digits gives 86739598080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141500159694 + ... + 141500160306.

It is an arithmetic number, because the mean of its divisors is an integer number (222093534663).

Almost surely, 2^{86739598080000} is an apocalyptic number.

86739598080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86739598080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159907344957360).

86739598080000 is an abundant number, since it is smaller than the sum of its proper divisors (233075091834720).

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

86739598080000 is a wasteful number, since it uses less digits than its factorization.

86739598080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 86739598080000 in words is "eighty-six trillion, seven hundred thirty-nine billion, five hundred ninety-eight million, eighty thousand".