11214054791520 has 768 divisors, whose sum is σ = 43504028467200. Its totient is φ = 2371219660800.

The previous prime is 11214054791491. The next prime is 11214054791551. The reversal of 11214054791520 is 2519745041211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 568740702 + ... + 568760418.

It is an arithmetic number, because the mean of its divisors is an integer number (56645870400).

Almost surely, 2^{11214054791520} is an apocalyptic number.

11214054791520 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 11214054791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752014233600).

11214054791520 is an abundant number, since it is smaller than the sum of its proper divisors (32289973675680).

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

11214054791520 is a wasteful number, since it uses less digits than its factorization.

11214054791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19971 (or 19963 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 11214054791520 in words is "eleven trillion, two hundred fourteen billion, fifty-four million, seven hundred ninety-one thousand, five hundred twenty".