10264485888 has 280 divisors, whose sum is σ = 31717488000. Its totient is φ = 3304488960.

The previous prime is 10264485877. The next prime is 10264485911. The reversal of 10264485888 is 88858446201.

10264485888 is a `hidden beast` number, since 10 + 2 + 6 + 4 + 48 + 588 + 8 = 666.

It is a super-2 number, since 2×10264485888² (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 an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 20569863 + ... + 20570361.

Almost surely, 2^10264485888 is an apocalyptic number.

10264485888 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 10264485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858744000).

10264485888 is an abundant number, since it is smaller than the sum of its proper divisors (21453002112).

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

10264485888 is an frugal number, since it uses more digits than its factorization.

10264485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 10264485888 in words is "ten billion, two hundred sixty-four million, four hundred eighty-five thousand, eight hundred eighty-eight".