10885512462400 has 63 divisors (see below), whose sum is σ = 26785488842301. Its totient is φ = 4354152195840.

The previous prime is 10885512462373. The next prime is 10885512462403. The reversal of 10885512462400 is 426421558801.

The square root of 10885512462400 is 3299320.

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

It can be written as a sum of positive squares in only one way, i.e., 3918784486464 + 6966727975936 = 1979592^2 + 2639456^2 .

It is a super-3 number, since 3×10885512462400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10885512462403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131931559 + ... + 132014041.

Almost surely, 2^{10885512462400} is an apocalyptic number.

10885512462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10885512462400 is the 3299320-th square number.

It is an amenable number.

10885512462400 is an abundant number, since it is smaller than the sum of its proper divisors (15899976379901).

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

10885512462400 is an frugal number, since it uses more digits than its factorization.

10885512462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164988 (or 82490 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 10885512462400 in words is "ten trillion, eight hundred eighty-five billion, five hundred twelve million, four hundred sixty-two thousand, four hundred".