86281977600 has 2160 divisors, whose sum is σ = 412180285440. Its totient is φ = 17318707200.

The previous prime is 86281977577. The next prime is 86281977643. The reversal of 86281977600 is 677918268.

86281977600 is a `hidden beast` number, since 8 + 6 + 28 + 1 + 9 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1462406371 + ... + 1462406429.

Almost surely, 2^86281977600 is an apocalyptic number.

86281977600 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 86281977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206090142720).

86281977600 is an abundant number, since it is smaller than the sum of its proper divisors (325898307840).

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

86281977600 is a wasteful number, since it uses less digits than its factorization.

86281977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 86281977600 in words is "eighty-six billion, two hundred eighty-one million, nine hundred seventy-seven thousand, six hundred".