10424462560 has 96 divisors (see below), whose sum is σ = 26124910560. Its totient is φ = 3917217792.

The previous prime is 10424462551. The next prime is 10424462593. The reversal of 10424462560 is 6526442401.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593376 + ... + 1599904.

It is an arithmetic number, because the mean of its divisors is an integer number (272134485).

Almost surely, 2^10424462560 is an apocalyptic number.

10424462560 is a gapful number since it is divisible by the number (10) 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 10424462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062455280).

10424462560 is an abundant number, since it is smaller than the sum of its proper divisors (15700448000).

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

10424462560 is a wasteful number, since it uses less digits than its factorization.

10424462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 10424462560 in words is "ten billion, four hundred twenty-four million, four hundred sixty-two thousand, five hundred sixty".