1053563477568 has 112 divisors (see below), whose sum is σ = 3201785011200. Its totient is φ = 299505406464.

The previous prime is 1053563477563. The next prime is 1053563477573. The reversal of 1053563477568 is 8657743653501.

1053563477568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1053563477563) and next prime (1053563477573).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1053563477568² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1053563477563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1702146 + ... + 2237057.

Almost surely, 2^{1053563477568} is an apocalyptic number.

It is an amenable number.

1053563477568 is an abundant number, since it is smaller than the sum of its proper divisors (2148221533632).

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

1053563477568 is a wasteful number, since it uses less digits than its factorization.

1053563477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939424 (or 3939414 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 1053563477568 in words is "one trillion, fifty-three billion, five hundred sixty-three million, four hundred seventy-seven thousand, five hundred sixty-eight".