86261662735200 has 432 divisors, whose sum is σ = 316136700799920. Its totient is φ = 22952751390720.

The previous prime is 86261662735147. The next prime is 86261662735229. The reversal of 86261662735200 is 253726616268.

86261662735200 is a `hidden beast` number, since 8 + 6 + 2 + 6 + 1 + 6 + 627 + 3 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 88355316 + ... + 89326284.

Almost surely, 2^{86261662735200} is an apocalyptic number.

86261662735200 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 86261662735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158068350399960).

86261662735200 is an abundant number, since it is smaller than the sum of its proper divisors (229875038064720).

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

86261662735200 is a wasteful number, since it uses less digits than its factorization.

86261662735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971461 (or 971436 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 86261662735200 in words is "eighty-six trillion, two hundred sixty-one billion, six hundred sixty-two million, seven hundred thirty-five thousand, two hundred".