87786063360 has 560 divisors, whose sum is σ = 334260945216. Its totient is φ = 22024617984.

The previous prime is 87786063353. The next prime is 87786063389. The reversal of 87786063360 is 6336068778.

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 = 87786063297 and 87786063306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31724697 + ... + 31727463.

Almost surely, 2^87786063360 is an apocalyptic number.

87786063360 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 87786063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167130472608).

87786063360 is an abundant number, since it is smaller than the sum of its proper divisors (246474881856).

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

87786063360 is an equidigital number, since it uses as much as digits as its factorization.

87786063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 87786063360 in words is "eighty-seven billion, seven hundred eighty-six million, sixty-three thousand, three hundred sixty".