11102757126400 has 81 divisors (see below), whose sum is σ = 27481718502973. Its totient is φ = 4440996224000.

The previous prime is 11102757126323. The next prime is 11102757126463. The reversal of 11102757126400 is 462175720111.

The square root of 11102757126400 is 3332080.

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., 3996992565504 + 7105764560896 = 1999248^2 + 2665664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11102757126400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 266545575 + ... + 266587225.

Almost surely, 2^{11102757126400} is an apocalyptic number.

11102757126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102757126400 is the 3332080-th square number.

It is an amenable number.

11102757126400 is an abundant number, since it is smaller than the sum of its proper divisors (16378961376573).

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

11102757126400 is an frugal number, since it uses more digits than its factorization.

11102757126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83328 (or 41658 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 11102757126400 in words is "eleven trillion, one hundred two billion, seven hundred fifty-seven million, one hundred twenty-six thousand, four hundred".