2865087106560 has 3360 divisors, whose sum is σ = 13491196820640. Its totient is φ = 577895399424.

The previous prime is 2865087106547. The next prime is 2865087106561. The reversal of 2865087106560 is 656017805682.

2865087106560 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 0 + 8 + 71 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 = 2865087106497 and 2865087106506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2865087106561) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 29536980432 + ... + 29536980528.

It is an arithmetic number, because the mean of its divisors is an integer number (4015237149).

Almost surely, 2^{2865087106560} is an apocalyptic number.

2865087106560 is a gapful number since it is divisible by the number (20) 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 2865087106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745598410320).

2865087106560 is an abundant number, since it is smaller than the sum of its proper divisors (10626109714080).

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

2865087106560 is an equidigital number, since it uses as much as digits as its factorization.

2865087106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2865087106560 in words is "two trillion, eight hundred sixty-five billion, eighty-seven million, one hundred six thousand, five hundred sixty".