87875242560 has 336 divisors, whose sum is σ = 360454139136. Its totient is φ = 19212374016.

The previous prime is 87875242547. The next prime is 87875242571. The reversal of 87875242560 is 6524257878.

87875242560 is a `hidden beast` number, since 8 + 7 + 8 + 75 + 2 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 87875242497 and 87875242506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368922 + ... + 558438.

It is an arithmetic number, because the mean of its divisors is an integer number (1072780176).

Almost surely, 2^87875242560 is an apocalyptic number.

87875242560 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 87875242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180227069568).

87875242560 is an abundant number, since it is smaller than the sum of its proper divisors (272578896576).

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

87875242560 is a wasteful number, since it uses less digits than its factorization.

87875242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189570 (or 189557 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 87875242560 in words is "eighty-seven billion, eight hundred seventy-five million, two hundred forty-two thousand, five hundred sixty".