87545914560 has 1680 divisors, whose sum is σ = 380432828160. Its totient is φ = 18951045120.

The previous prime is 87545914549. The next prime is 87545914601. The reversal of 87545914560 is 6541954578.

It is a happy number.

87545914560 is a `hidden beast` number, since 8 + 7 + 5 + 4 + 591 + 45 + 6 + 0 = 666.

It is a super-2 number, since 2×87545914560² (a number of 23 digits) contains 22 as substring.

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 = 87545914497 and 87545914506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2824061745 + ... + 2824061775.

It is an arithmetic number, because the mean of its divisors is an integer number (226448112).

Almost surely, 2^87545914560 is an apocalyptic number.

87545914560 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 87545914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190216414080).

87545914560 is an abundant number, since it is smaller than the sum of its proper divisors (292886913600).

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

87545914560 is a wasteful number, since it uses less digits than its factorization.

87545914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 87545914560 in words is "eighty-seven billion, five hundred forty-five million, nine hundred fourteen thousand, five hundred sixty".