11214780720 has 640 divisors, whose sum is σ = 43005247488. Its totient is φ = 2380492800.

The previous prime is 11214780713. The next prime is 11214780727. The reversal of 11214780720 is 2708741211.

It is an interprime number because it is at equal distance from previous prime (11214780713) and next prime (11214780727).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11214780727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88305297 + ... + 88305423.

Almost surely, 2^11214780720 is an apocalyptic number.

11214780720 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 11214780720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502623744).

11214780720 is an abundant number, since it is smaller than the sum of its proper divisors (31790466768).

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

11214780720 is a wasteful number, since it uses less digits than its factorization.

11214780720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 11214780720 in words is "eleven billion, two hundred fourteen million, seven hundred eighty thousand, seven hundred twenty".