11271938496 has 224 divisors, whose sum is σ = 37257776640. Its totient is φ = 2928144384.

The previous prime is 11271938471. The next prime is 11271938501. The reversal of 11271938496 is 69483917211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165810 + ... + 1175438.

It is an arithmetic number, because the mean of its divisors is an integer number (166329360).

Almost surely, 2^11271938496 is an apocalyptic number.

11271938496 is a gapful number since it is divisible by the number (16) 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 11271938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628888320).

11271938496 is an abundant number, since it is smaller than the sum of its proper divisors (25985838144).

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

11271938496 is a wasteful number, since it uses less digits than its factorization.

11271938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9731 (or 9721 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The spelling of 11271938496 in words is "eleven billion, two hundred seventy-one million, nine hundred thirty-eight thousand, four hundred ninety-six".