1053636304896 has 672 divisors, whose sum is σ = 3654760531968. Its totient is φ = 297085501440.

The previous prime is 1053636304879. The next prime is 1053636304909. The reversal of 1053636304896 is 6984036363501.

1053636304896 is a `hidden beast` number, since 1 + 0 + 536 + 3 + 63 + 0 + 48 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1053636304896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1156570681 + ... + 1156571591.

It is an arithmetic number, because the mean of its divisors is an integer number (5438631744).

Almost surely, 2^{1053636304896} is an apocalyptic number.

1053636304896 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 1053636304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827380265984).

1053636304896 is an abundant number, since it is smaller than the sum of its proper divisors (2601124227072).

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

1053636304896 is an frugal number, since it uses more digits than its factorization.

1053636304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1053636304896 in words is "one trillion, fifty-three billion, six hundred thirty-six million, three hundred four thousand, eight hundred ninety-six".