86981358444480 has 224 divisors, whose sum is σ = 323000951558400. Its totient is φ = 21974237881344.

The previous prime is 86981358444469. The next prime is 86981358444481. The reversal of 86981358444480 is 8444485318968.

86981358444480 is a `hidden beast` number, since 8 + 6 + 9 + 8 + 135 + 8 + 4 + 4 + 4 + 480 = 666.

It is a super-2 number, since 2×86981358444480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86981358444399 and 86981358444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86981358444481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264764442 + ... + 265092761.

Almost surely, 2^{86981358444480} is an apocalyptic number.

86981358444480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86981358444480 is an abundant number, since it is smaller than the sum of its proper divisors (236019593113920).

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

86981358444480 is a wasteful number, since it uses less digits than its factorization.

86981358444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529857248 (or 529857232 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 86981358444480 in words is "eighty-six trillion, nine hundred eighty-one billion, three hundred fifty-eight million, four hundred forty-four thousand, four hundred eighty".