10540224464 has 160 divisors (see below), whose sum is σ = 27726796800. Its totient is φ = 3756049920.

The previous prime is 10540224433. The next prime is 10540224479. The reversal of 10540224464 is 46442204501.

It is a super-2 number, since 2×10540224464² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10540224464.

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, 671069 + ... + 686595.

It is an arithmetic number, because the mean of its divisors is an integer number (173292480).

Almost surely, 2^10540224464 is an apocalyptic number.

10540224464 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 10540224464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863398400).

10540224464 is an abundant number, since it is smaller than the sum of its proper divisors (17186572336).

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

10540224464 is a wasteful number, since it uses less digits than its factorization.

10540224464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 10540224464 its reverse (46442204501), we get a palindrome (56982428965).

The spelling of 10540224464 in words is "ten billion, five hundred forty million, two hundred twenty-four thousand, four hundred sixty-four".