86605405286400 has 8736 divisors, whose sum is σ = 462529817863680. Its totient is φ = 15479341056000.

The previous prime is 86605405286399. The next prime is 86605405286437. The reversal of 86605405286400 is 468250450668.

86605405286400 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 54 + 0 + 528 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8736).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1419760742370 + ... + 1419760742430.

Almost surely, 2^{86605405286400} is an apocalyptic number.

86605405286400 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 86605405286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231264908931840).

86605405286400 is an abundant number, since it is smaller than the sum of its proper divisors (375924412577280).

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

86605405286400 is a wasteful number, since it uses less digits than its factorization.

86605405286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 86605405286400 in words is "eighty-six trillion, six hundred five billion, four hundred five million, two hundred eighty-six thousand, four hundred".