10005695448 has 128 divisors (see below), whose sum is σ = 29169745920. Its totient is φ = 2801070720.

The previous prime is 10005695407. The next prime is 10005695461. The reversal of 10005695448 is 84459650001.

It is a super-2 number, since 2×10005695448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1989465 + ... + 1994487.

It is an arithmetic number, because the mean of its divisors is an integer number (227888640).

Almost surely, 2^10005695448 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 10005695448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584872960).

10005695448 is an abundant number, since it is smaller than the sum of its proper divisors (19164050472).

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

10005695448 is a wasteful number, since it uses less digits than its factorization.

10005695448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10005695448 in words is "ten billion, five million, six hundred ninety-five thousand, four hundred forty-eight".