86926245952 has 224 divisors, whose sum is σ = 216412356608. Its totient is φ = 33727186944.

The previous prime is 86926245949. The next prime is 86926245971. The reversal of 86926245952 is 25954262968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143206033 + ... + 143206639.

It is an arithmetic number, because the mean of its divisors is an integer number (966126592).

Almost surely, 2^86926245952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86926245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108206178304).

86926245952 is an abundant number, since it is smaller than the sum of its proper divisors (129486110656).

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

86926245952 is a wasteful number, since it uses less digits than its factorization.

86926245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 86926245952 in words is "eighty-six billion, nine hundred twenty-six million, two hundred forty-five thousand, nine hundred fifty-two".