1053966587904 has 480 divisors, whose sum is σ = 3243319999920. Its totient is φ = 340800307200.

The previous prime is 1053966587903. The next prime is 1053966587917. The reversal of 1053966587904 is 4097856693501.

1053966587904 is a `hidden beast` number, since 1 + 0 + 539 + 6 + 6 + 5 + 8 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×1053966587904² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053966587903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1639139007 + ... + 1639139649.

Almost surely, 2^{1053966587904} 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 1053966587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621659999960).

1053966587904 is an abundant number, since it is smaller than the sum of its proper divisors (2189353412016).

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

1053966587904 is an equidigital number, since it uses as much as digits as its factorization.

1053966587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1053966587904 in words is "one trillion, fifty-three billion, nine hundred sixty-six million, five hundred eighty-seven thousand, nine hundred four".