87926065920 has 2304 divisors, whose sum is σ = 429495091200. Its totient is φ = 16482631680.

The previous prime is 87926065919. The next prime is 87926065949. The reversal of 87926065920 is 2956062978.

87926065920 is a `hidden beast` number, since 8 + 7 + 9 + 2 + 606 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1870767337 + ... + 1870767383.

It is an arithmetic number, because the mean of its divisors is an integer number (186412800).

Almost surely, 2^87926065920 is an apocalyptic number.

87926065920 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 87926065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214747545600).

87926065920 is an abundant number, since it is smaller than the sum of its proper divisors (341569025280).

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

87926065920 is a wasteful number, since it uses less digits than its factorization.

87926065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87926065920 in words is "eighty-seven billion, nine hundred twenty-six million, sixty-five thousand, nine hundred twenty".