1600265208960 has 192 divisors, whose sum is σ = 6028272020160. Its totient is φ = 387943065600.

The previous prime is 1600265208953. The next prime is 1600265208973. The reversal of 1600265208960 is 698025620061.

1600265208960 is a `hidden beast` number, since 1 + 60 + 0 + 2 + 6 + 520 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12564996 + ... + 12691715.

It is an arithmetic number, because the mean of its divisors is an integer number (31397250105).

Almost surely, 2^{1600265208960} is an apocalyptic number.

1600265208960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1600265208960 is an abundant number, since it is smaller than the sum of its proper divisors (4428006811200).

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

1600265208960 is a wasteful number, since it uses less digits than its factorization.

1600265208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25256747 (or 25256732 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1600265208960 in words is "one trillion, six hundred billion, two hundred sixty-five million, two hundred eight thousand, nine hundred sixty".