86657067214400 has 84 divisors (see below), whose sum is σ = 213553136436180. Its totient is φ = 34610386483200.

The previous prime is 86657067214363. The next prime is 86657067214451. The reversal of 86657067214400 is 441276075668.

It can be written as a sum of positive squares in 6 ways, for example, as 12361355920384 + 74295711294016 = 3515872^2 + 8619496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39911135 + ... + 42026334.

Almost surely, 2^{86657067214400} is an apocalyptic number.

86657067214400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86657067214400 is an abundant number, since it is smaller than the sum of its proper divisors (126896069221780).

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

86657067214400 is a wasteful number, since it uses less digits than its factorization.

86657067214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81938152 (or 81938137 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 86657067214400 in words is "eighty-six trillion, six hundred fifty-seven billion, sixty-seven million, two hundred fourteen thousand, four hundred".