11052651138240 has 448 divisors, whose sum is σ = 37395770572800. Its totient is φ = 2757927481344.

The previous prime is 11052651138233. The next prime is 11052651138301. The reversal of 11052651138240 is 4283115625011.

It is a super-2 number, since 2×11052651138240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 525830451 + ... + 525851469.

Almost surely, 2^{11052651138240} is an apocalyptic number.

11052651138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11052651138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697885286400).

11052651138240 is an abundant number, since it is smaller than the sum of its proper divisors (26343119434560).

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

11052651138240 is a wasteful number, since it uses less digits than its factorization.

11052651138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21412 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 11052651138240 in words is "eleven trillion, fifty-two billion, six hundred fifty-one million, one hundred thirty-eight thousand, two hundred forty".