87339409920 has 960 divisors, whose sum is σ = 370632278016. Its totient is φ = 19289456640.

The previous prime is 87339409891. The next prime is 87339409921. The reversal of 87339409920 is 2990493378.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (87339409921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134991037 + ... + 134991683.

Almost surely, 2^87339409920 is an apocalyptic number.

87339409920 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 87339409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185316139008).

87339409920 is an abundant number, since it is smaller than the sum of its proper divisors (283292868096).

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

87339409920 is an equidigital number, since it uses as much as digits as its factorization.

87339409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 87339409920 in words is "eighty-seven billion, three hundred thirty-nine million, four hundred nine thousand, nine hundred twenty".