8610806554560 has 672 divisors, whose sum is σ = 35204256622080. Its totient is φ = 1962469306368.

The previous prime is 8610806554477. The next prime is 8610806554573. The reversal of 8610806554560 is 654556080168.

8610806554560 is a `hidden beast` number, since 8 + 6 + 1 + 0 + 80 + 6 + 554 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 8610806554497 and 8610806554506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188856246 + ... + 188901834.

It is an arithmetic number, because the mean of its divisors is an integer number (52387286640).

Almost surely, 2^{8610806554560} is an apocalyptic number.

8610806554560 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 8610806554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602128311040).

8610806554560 is an abundant number, since it is smaller than the sum of its proper divisors (26593450067520).

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

8610806554560 is a wasteful number, since it uses less digits than its factorization.

8610806554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45975 (or 45953 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 8610806554560 in words is "eight trillion, six hundred ten billion, eight hundred six million, five hundred fifty-four thousand, five hundred sixty".