87323427089920 has 1280 divisors, whose sum is σ = 272371959078912. Its totient is φ = 26145340784640.

The previous prime is 87323427089891. The next prime is 87323427089939. The reversal of 87323427089920 is 2998072432378.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56593276669 + ... + 56593278211.

Almost surely, 2^{87323427089920} is an apocalyptic number.

87323427089920 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 87323427089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136185979539456).

87323427089920 is an abundant number, since it is smaller than the sum of its proper divisors (185048531988992).

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

87323427089920 is a wasteful number, since it uses less digits than its factorization.

87323427089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 87323427089920 in words is "eighty-seven trillion, three hundred twenty-three billion, four hundred twenty-seven million, eighty-nine thousand, nine hundred twenty".