86650953984 has 864 divisors, whose sum is σ = 314272358400. Its totient is φ = 23775897600.

The previous prime is 86650953947. The next prime is 86650954037. The reversal of 86650953984 is 48935905668.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661457599 + ... + 661457729.

Almost surely, 2^86650953984 is an apocalyptic number.

86650953984 is a gapful number since it is divisible by the number (84) 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 86650953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157136179200).

86650953984 is an abundant number, since it is smaller than the sum of its proper divisors (227621404416).

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

86650953984 is an equidigital number, since it uses as much as digits as its factorization.

86650953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 86650953984 in words is "eighty-six billion, six hundred fifty million, nine hundred fifty-three thousand, nine hundred eighty-four".