10775497824 has 384 divisors, whose sum is σ = 39938088960. Its totient is φ = 2749593600.

The previous prime is 10775497823. The next prime is 10775497841. The reversal of 10775497824 is 42879457701.

10775497824 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 549 + 78 + 24 = 666.

It is a super-2 number, since 2×10775497824² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775497823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435134 + ... + 2439554.

It is an arithmetic number, because the mean of its divisors is an integer number (104005440).

Almost surely, 2^10775497824 is an apocalyptic number.

10775497824 is a gapful number since it is divisible by the number (14) 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 10775497824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969044480).

10775497824 is an abundant number, since it is smaller than the sum of its proper divisors (29162591136).

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

10775497824 is a wasteful number, since it uses less digits than its factorization.

10775497824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10775497824 in words is "ten billion, seven hundred seventy-five million, four hundred ninety-seven thousand, eight hundred twenty-four".