87725016610560 has 1440 divisors, whose sum is σ = 372992318287680. Its totient is φ = 19508818968576.

The previous prime is 87725016610537. The next prime is 87725016610589. The reversal of 87725016610560 is 6501661052778.

It is a happy number.

87725016610560 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 5 + 0 + 1 + 66 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 87725016610497 and 87725016610506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3070192434 + ... + 3070221006.

Almost surely, 2^{87725016610560} is an apocalyptic number.

87725016610560 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 87725016610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186496159143840).

87725016610560 is an abundant number, since it is smaller than the sum of its proper divisors (285267301677120).

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

87725016610560 is an equidigital number, since it uses as much as digits as its factorization.

87725016610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28668 (or 28627 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 87725016610560 in words is "eighty-seven trillion, seven hundred twenty-five billion, sixteen million, six hundred ten thousand, five hundred sixty".