87738082560 has 864 divisors, whose sum is σ = 334730672640. Its totient is φ = 21132214272.

The previous prime is 87738082519. The next prime is 87738082571. The reversal of 87738082560 is 6528083778.

87738082560 is a `hidden beast` number, since 8 + 7 + 7 + 380 + 8 + 256 + 0 = 666.

It is a super-2 number, since 2×87738082560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87738082497 and 87738082506.

It is a congruent number.

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, 819982027 + ... + 819982133.

It is an arithmetic number, because the mean of its divisors is an integer number (387419760).

Almost surely, 2^87738082560 is an apocalyptic number.

87738082560 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 87738082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167365336320).

87738082560 is an abundant number, since it is smaller than the sum of its proper divisors (246992590080).

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

87738082560 is a wasteful number, since it uses less digits than its factorization.

87738082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87738082560 in words is "eighty-seven billion, seven hundred thirty-eight million, eighty-two thousand, five hundred sixty".