2865199685040 has 1080 divisors, whose sum is σ = 12506191208784. Its totient is φ = 585552844800.

The previous prime is 2865199685009. The next prime is 2865199685057. The reversal of 2865199685040 is 405869915682.

2865199685040 is a `hidden beast` number, since 2 + 8 + 6 + 519 + 9 + 68 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 260396179 + ... + 260407181.

Almost surely, 2^{2865199685040} is an apocalyptic number.

2865199685040 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 2865199685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253095604392).

2865199685040 is an abundant number, since it is smaller than the sum of its proper divisors (9640991523744).

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

2865199685040 is a wasteful number, since it uses less digits than its factorization.

2865199685040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 2865199685040 in words is "two trillion, eight hundred sixty-five billion, one hundred ninety-nine million, six hundred eighty-five thousand, forty".