87753841560 has 1792 divisors, whose sum is σ = 414759398400. Its totient is φ = 16258682880.

The previous prime is 87753841537. The next prime is 87753841561. The reversal of 87753841560 is 6514835778.

It is a happy number.

87753841560 is a `hidden beast` number, since 8 + 7 + 7 + 5 + 38 + 41 + 560 = 666.

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 = 87753841497 and 87753841506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87753841561) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4618623231 + ... + 4618623249.

Almost surely, 2^87753841560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87753841560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207379699200).

87753841560 is an abundant number, since it is smaller than the sum of its proper divisors (327005556840).

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

87753841560 is a wasteful number, since it uses less digits than its factorization.

87753841560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 87753841560 in words is "eighty-seven billion, seven hundred fifty-three million, eight hundred forty-one thousand, five hundred sixty".