87399381120 has 256 divisors, whose sum is σ = 283437273600. Its totient is φ = 22903455744.

The previous prime is 87399381109. The next prime is 87399381133. The reversal of 87399381120 is 2118399378.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35340204 + ... + 35342676.

It is an arithmetic number, because the mean of its divisors is an integer number (1107176850).

Almost surely, 2^87399381120 is an apocalyptic number.

87399381120 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 87399381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141718636800).

87399381120 is an abundant number, since it is smaller than the sum of its proper divisors (196037892480).

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

87399381120 is a wasteful number, since it uses less digits than its factorization.

87399381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 87399381120 in words is "eighty-seven billion, three hundred ninety-nine million, three hundred eighty-one thousand, one hundred twenty".