86562577920 has 640 divisors, whose sum is σ = 352417443840. Its totient is φ = 17629839360.

The previous prime is 86562577903. The next prime is 86562577939. The reversal of 86562577920 is 2977526568.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20265385 + ... + 20269655.

It is an arithmetic number, because the mean of its divisors is an integer number (550652256).

Almost surely, 2^86562577920 is an apocalyptic number.

86562577920 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 86562577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176208721920).

86562577920 is an abundant number, since it is smaller than the sum of its proper divisors (265854865920).

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

86562577920 is a wasteful number, since it uses less digits than its factorization.

86562577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 86562577920 in words is "eighty-six billion, five hundred sixty-two million, five hundred seventy-seven thousand, nine hundred twenty".