11503279872 has 324 divisors, whose sum is σ = 39031823376. Its totient is φ = 3191685120.

The previous prime is 11503279871. The next prime is 11503279903. The reversal of 11503279872 is 27897230511.

11503279872 is a `hidden beast` number, since 1 + 1 + 503 + 2 + 79 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11503279871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22078972 + ... + 22079492.

Almost surely, 2^11503279872 is an apocalyptic number.

11503279872 is a gapful number since it is divisible by the number (12) 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 11503279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515911688).

11503279872 is an abundant number, since it is smaller than the sum of its proper divisors (27528543504).

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

11503279872 is an equidigital number, since it uses as much as digits as its factorization.

11503279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11503279872 in words is "eleven billion, five hundred three million, two hundred seventy-nine thousand, eight hundred seventy-two".