11199756480 has 224 divisors, whose sum is σ = 39525781248. Its totient is φ = 2663731200.

The previous prime is 11199756467. The next prime is 11199756481. The reversal of 11199756480 is 8465799111.

It is a super-2 number, since 2×11199756480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11199756481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549675 + ... + 569685.

Almost surely, 2^11199756480 is an apocalyptic number.

11199756480 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 11199756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762890624).

11199756480 is an abundant number, since it is smaller than the sum of its proper divisors (28326024768).

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

11199756480 is a wasteful number, since it uses less digits than its factorization.

11199756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 11199756480 in words is "eleven billion, one hundred ninety-nine million, seven hundred fifty-six thousand, four hundred eighty".