87387580080 has 640 divisors, whose sum is σ = 327471897600. Its totient is φ = 21349785600.

The previous prime is 87387580073. The next prime is 87387580081. The reversal of 87387580080 is 8008578378.

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

It is a junction number, because it is equal to n+sod(n) for n = 87387579999 and 87387580026.

It is not an unprimeable number, because it can be changed into a prime (87387580081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167730220 + ... + 167730740.

It is an arithmetic number, because the mean of its divisors is an integer number (511674840).

Almost surely, 2^87387580080 is an apocalyptic number.

87387580080 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 87387580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163735948800).

87387580080 is an abundant number, since it is smaller than the sum of its proper divisors (240084317520).

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

87387580080 is a wasteful number, since it uses less digits than its factorization.

87387580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 87387580080 in words is "eighty-seven billion, three hundred eighty-seven million, five hundred eighty thousand, eighty".