86653981440 has 720 divisors, whose sum is σ = 336558499200. Its totient is φ = 21162000384.

The previous prime is 86653981429. The next prime is 86653981441. The reversal of 86653981440 is 4418935668.

86653981440 is a `hidden beast` number, since 8 + 66 + 53 + 98 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (86653981441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 322133626 + ... + 322133894.

It is an arithmetic number, because the mean of its divisors is an integer number (467442360).

Almost surely, 2^86653981440 is an apocalyptic number.

86653981440 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 86653981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168279249600).

86653981440 is an abundant number, since it is smaller than the sum of its proper divisors (249904517760).

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

86653981440 is a wasteful number, since it uses less digits than its factorization.

86653981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 86653981440 in words is "eighty-six billion, six hundred fifty-three million, nine hundred eighty-one thousand, four hundred forty".