10562240001600 has 1701 divisors, whose sum is σ = 45127361119113. Its totient is φ = 2336227246080.

The previous prime is 10562240001583. The next prime is 10562240001619. The reversal of 10562240001600 is 610004226501.

The square root of 10562240001600 is 3249960.

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

10562240001600 is a `hidden beast` number, since 1 + 0 + 56 + 2 + 2 + 4 + 0 + 0 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3672496973376 + 6889743028224 = 1916376^2 + 2624832^2 .

It is a super-2 number, since 2×10562240001600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 144688219164 + ... + 144688219236.

Almost surely, 2^{10562240001600} is an apocalyptic number.

10562240001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10562240001600 is the 3249960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10562240001600

10562240001600 is an abundant number, since it is smaller than the sum of its proper divisors (34565121117513).

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

10562240001600 is an equidigital number, since it uses as much as digits as its factorization.

10562240001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10562240001600 in words is "ten trillion, five hundred sixty-two billion, two hundred forty million, one thousand, six hundred".