86347716249600 has 4608 divisors, whose sum is σ = 373440098304000. Its totient is φ = 19396952064000.

The previous prime is 86347716249589. The next prime is 86347716249703. The reversal of 86347716249600 is 694261774368.

It is a happy number.

86347716249600 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 7 + 7 + 16 + 2 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1216165017565 + ... + 1216165017635.

It is an arithmetic number, because the mean of its divisors is an integer number (81041688000).

Almost surely, 2^{86347716249600} is an apocalyptic number.

86347716249600 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 86347716249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186720049152000).

86347716249600 is an abundant number, since it is smaller than the sum of its proper divisors (287092382054400).

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

86347716249600 is a wasteful number, since it uses less digits than its factorization.

86347716249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 86347716249600 in words is "eighty-six trillion, three hundred forty-seven billion, seven hundred sixteen million, two hundred forty-nine thousand, six hundred".