10542905096256 has 315 divisors, whose sum is σ = 33851193998391. Its totient is φ = 3243035667456.

The previous prime is 10542905096239. The next prime is 10542905096263. The reversal of 10542905096256 is 65269050924501.

The square root of 10542905096256 is 3246984.

It is a perfect power (a square), and thus also a powerful number.

10542905096256 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 9 + 0 + 5 + 0 + 9 + 625 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7538978318400 + 3003926777856 = 2745720^2 + 1733184^2 .

It is a super-2 number, since 2×10542905096256² (a number of 27 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 44 ways as a sum of consecutive naturals, for example, 3039175290 + ... + 3039178758.

Almost surely, 2^{10542905096256} is an apocalyptic number.

10542905096256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10542905096256 is the 3246984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542905096256

10542905096256 is an abundant number, since it is smaller than the sum of its proper divisors (23308288902135).

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

10542905096256 is an frugal number, since it uses more digits than its factorization.

10542905096256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10542905096256 in words is "ten trillion, five hundred forty-two billion, nine hundred five million, ninety-six thousand, two hundred fifty-six".