10415544564 has 144 divisors (see below), whose sum is σ = 27319638528. Its totient is φ = 3077277696.

The previous prime is 10415544551. The next prime is 10415544571. The reversal of 10415544564 is 46544551401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17158749 + ... + 17159355.

It is an arithmetic number, because the mean of its divisors is an integer number (189719712).

Almost surely, 2^10415544564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415544564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659819264).

10415544564 is an abundant number, since it is smaller than the sum of its proper divisors (16904093964).

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

10415544564 is a wasteful number, since it uses less digits than its factorization.

10415544564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 10415544564 in words is "ten billion, four hundred fifteen million, five hundred forty-four thousand, five hundred sixty-four".