11257698816 has 800 divisors, whose sum is σ = 43809279360. Its totient is φ = 2794881024.

The previous prime is 11257698799. The next prime is 11257698817. The reversal of 11257698816 is 61889675211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (11257698817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71705010 + ... + 71705166.

Almost surely, 2^11257698816 is an apocalyptic number.

11257698816 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 11257698816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21904639680).

11257698816 is an abundant number, since it is smaller than the sum of its proper divisors (32551580544).

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

11257698816 is a wasteful number, since it uses less digits than its factorization.

11257698816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11257698816 in words is "eleven billion, two hundred fifty-seven million, six hundred ninety-eight thousand, eight hundred sixteen".