10011504464 has 80 divisors (see below), whose sum is σ = 21359247504. Its totient is φ = 4517683200.

The previous prime is 10011504449. The next prime is 10011504473. The reversal of 10011504464 is 46440511001.

It can be written as a sum of positive squares in 8 ways, for example, as 1122786064 + 8888718400 = 33508^2 + 94280^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 2192744 + ... + 2197304.

Almost surely, 2^10011504464 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 10011504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679623752).

10011504464 is an abundant number, since it is smaller than the sum of its proper divisors (11347743040).

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

10011504464 is a wasteful number, since it uses less digits than its factorization.

10011504464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 10011504464 in words is "ten billion, eleven million, five hundred four thousand, four hundred sixty-four".