2565150009408 has 896 divisors, whose sum is σ = 9802368000000. Its totient is φ = 653434822656.

The previous prime is 2565150009397. The next prime is 2565150009431. The reversal of 2565150009408 is 8049000515652.

2565150009408 is a `hidden beast` number, since 2 + 5 + 6 + 51 + 500 + 0 + 94 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191436693 + ... + 191450091.

Almost surely, 2^{2565150009408} is an apocalyptic number.

2565150009408 is a gapful number since it is divisible by the number (28) 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 2565150009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901184000000).

2565150009408 is an abundant number, since it is smaller than the sum of its proper divisors (7237217990592).

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

2565150009408 is a wasteful number, since it uses less digits than its factorization.

2565150009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13477 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2565150009408 in words is "two trillion, five hundred sixty-five billion, one hundred fifty million, nine thousand, four hundred eight".