1656127851264 has 216 divisors, whose sum is σ = 4853003579424. Its totient is φ = 543062016000.

The previous prime is 1656127851251. The next prime is 1656127851281. The reversal of 1656127851264 is 4621587216561.

1656127851264 is a `hidden beast` number, since 1 + 6 + 5 + 61 + 2 + 7 + 8 + 512 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1656127851264.

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, 75401244 + ... + 75423204.

It is an arithmetic number, because the mean of its divisors is an integer number (22467609164).

Almost surely, 2^{1656127851264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656127851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426501789712).

1656127851264 is an abundant number, since it is smaller than the sum of its proper divisors (3196875728160).

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

1656127851264 is a wasteful number, since it uses less digits than its factorization.

1656127851264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22515 (or 22498 counting only the distinct ones).

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

The spelling of 1656127851264 in words is "one trillion, six hundred fifty-six billion, one hundred twenty-seven million, eight hundred fifty-one thousand, two hundred sixty-four".