1353095263872 has 192 divisors, whose sum is σ = 4432323879360. Its totient is φ = 392201441280.

The previous prime is 1353095263859. The next prime is 1353095263873. The reversal of 1353095263872 is 2783625903531.

1353095263872 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 9 + 526 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1353095263872² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353095263873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2029813 + ... + 2612724.

It is an arithmetic number, because the mean of its divisors is an integer number (23085020205).

Almost surely, 2^{1353095263872} is an apocalyptic number.

1353095263872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353095263872 is an abundant number, since it is smaller than the sum of its proper divisors (3079228615488).

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

1353095263872 is a wasteful number, since it uses less digits than its factorization.

1353095263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642591 (or 4642576 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1353095263872 in words is "one trillion, three hundred fifty-three billion, ninety-five million, two hundred sixty-three thousand, eight hundred seventy-two".