87605388000 has 672 divisors, whose sum is σ = 347697185472. Its totient is φ = 21555072000.

The previous prime is 87605387983. The next prime is 87605388001. The reversal of 87605388000 is 88350678.

87605388000 is a `hidden beast` number, since 8 + 7 + 605 + 38 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87605388001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37906845 + ... + 37909155.

It is an arithmetic number, because the mean of its divisors is an integer number (517406526).

Almost surely, 2^87605388000 is an apocalyptic number.

87605388000 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 87605388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173848592736).

87605388000 is an abundant number, since it is smaller than the sum of its proper divisors (260091797472).

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

87605388000 is a wasteful number, since it uses less digits than its factorization.

87605388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87605388000 in words is "eighty-seven billion, six hundred five million, three hundred eighty-eight thousand".