87206421120 has 768 divisors, whose sum is σ = 351865140480. Its totient is φ = 18207866880.

The previous prime is 87206421119. The next prime is 87206421173. The reversal of 87206421120 is 2112460278.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138203205 + ... + 138203835.

It is an arithmetic number, because the mean of its divisors is an integer number (458157735).

Almost surely, 2^87206421120 is an apocalyptic number.

87206421120 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 87206421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175932570240).

87206421120 is an abundant number, since it is smaller than the sum of its proper divisors (264658719360).

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

87206421120 is a wasteful number, since it uses less digits than its factorization.

87206421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 87206421120 its reverse (2112460278), we get a palindrome (89318881398).

The spelling of 87206421120 in words is "eighty-seven billion, two hundred six million, four hundred twenty-one thousand, one hundred twenty".