1527766494336 has 384 divisors, whose sum is σ = 4577729644800. Its totient is φ = 488782135296.

The previous prime is 1527766494313. The next prime is 1527766494391. The reversal of 1527766494336 is 6334946677251.

It is a happy number.

1527766494336 is a `hidden beast` number, since 1 + 52 + 7 + 7 + 66 + 494 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1527766494336² (a number of 25 digits) contains 22 as substring.

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, 545045511 + ... + 545048313.

It is an arithmetic number, because the mean of its divisors is an integer number (11921170950).

Almost surely, 2^{1527766494336} is an apocalyptic number.

1527766494336 is a gapful number since it is divisible by the number (16) 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 1527766494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288864822400).

1527766494336 is an abundant number, since it is smaller than the sum of its proper divisors (3049963150464).

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

1527766494336 is a wasteful number, since it uses less digits than its factorization.

1527766494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3053 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 1527766494336 in words is "one trillion, five hundred twenty-seven billion, seven hundred sixty-six million, four hundred ninety-four thousand, three hundred thirty-six".