2865601880064 has 672 divisors, whose sum is σ = 10349675316864. Its totient is φ = 742210928640.

The previous prime is 2865601880003. The next prime is 2865601880087. The reversal of 2865601880064 is 4600881065682.

2865601880064 is a `hidden beast` number, since 2 + 8 + 6 + 560 + 18 + 8 + 0 + 0 + 64 = 666.

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

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, 3707117182 + ... + 3707117954.

Almost surely, 2^{2865601880064} is an apocalyptic number.

2865601880064 is a gapful number since it is divisible by the number (24) 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 2865601880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174837658432).

2865601880064 is an abundant number, since it is smaller than the sum of its proper divisors (7484073436800).

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

2865601880064 is a wasteful number, since it uses less digits than its factorization.

2865601880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2865601880064 in words is "two trillion, eight hundred sixty-five billion, six hundred one million, eight hundred eighty thousand, sixty-four".