10557396468 has 72 divisors (see below), whose sum is σ = 27736875712. Its totient is φ = 3511283904.

The previous prime is 10557396467. The next prime is 10557396539. The reversal of 10557396468 is 86469375501.

10557396468 is a `hidden beast` number, since 1 + 0 + 5 + 573 + 9 + 6 + 4 + 68 = 666.

10557396468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10557396468² (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 (10557396461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432321 + ... + 456087.

Almost surely, 2^10557396468 is an apocalyptic number.

10557396468 is a gapful number since it is divisible by the number (18) 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 10557396468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868437856).

10557396468 is an abundant number, since it is smaller than the sum of its proper divisors (17179479244).

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

10557396468 is a wasteful number, since it uses less digits than its factorization.

10557396468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10557396468 in words is "ten billion, five hundred fifty-seven million, three hundred ninety-six thousand, four hundred sixty-eight".