87136378560 has 1512 divisors, whose sum is σ = 398938394400. Its totient is φ = 18106260480.

The previous prime is 87136378543. The next prime is 87136378633. The reversal of 87136378560 is 6587363178.

87136378560 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 6 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 = 87136378497 and 87136378506.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7921488955 + ... + 7921488965.

Almost surely, 2^87136378560 is an apocalyptic number.

87136378560 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 87136378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199469197200).

87136378560 is an abundant number, since it is smaller than the sum of its proper divisors (311802015840).

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

87136378560 is an frugal number, since it uses more digits than its factorization.

87136378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 87136378560 in words is "eighty-seven billion, one hundred thirty-six million, three hundred seventy-eight thousand, five hundred sixty".