11253766492080 has 1440 divisors, whose sum is σ = 48949708803840. Its totient is φ = 2298959953920.

The previous prime is 11253766492049. The next prime is 11253766492103. The reversal of 11253766492080 is 8029466735211.

It is a happy number.

11253766492080 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 76 + 6 + 492 + 0 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1060970137 + ... + 1060980743.

It is an arithmetic number, because the mean of its divisors is an integer number (33992853336).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11253766492080 = 22507532984160, but 3⋅11253766492080 = 33761299476240 is not.

Almost surely, 2^{11253766492080} is an apocalyptic number.

11253766492080 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 11253766492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474854401920).

11253766492080 is an abundant number, since it is smaller than the sum of its proper divisors (37695942311760).

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

11253766492080 is a wasteful number, since it uses less digits than its factorization.

11253766492080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11253766492080 in words is "eleven trillion, two hundred fifty-three billion, seven hundred sixty-six million, four hundred ninety-two thousand, eighty".