1057988764800 has 1944 divisors, whose sum is σ = 4535654845995. Its totient is φ = 234604339200.

The previous prime is 1057988764793. The next prime is 1057988764831. The reversal of 1057988764800 is 84678897501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1057988764800 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 9 + 88 + 76 + 480 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 405809769024 + 652178995776 = 637032^2 + 807576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=727320.

It is a super-2 number, since 2×1057988764800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 36482371186 + ... + 36482371214.

Almost surely, 2^{1057988764800} is an apocalyptic number.

1057988764800 is a gapful number since it is divisible by the number (10) 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 1057988764800

1057988764800 is an abundant number, since it is smaller than the sum of its proper divisors (3477666081195).

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

1057988764800 is a wasteful number, since it uses less digits than its factorization.

1057988764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 1057988764800 in words is "one trillion, fifty-seven billion, nine hundred eighty-eight million, seven hundred sixty-four thousand, eight hundred".