10005253040 has 80 divisors (see below), whose sum is σ = 23844188160. Its totient is φ = 3903056640.

The previous prime is 10005253039. The next prime is 10005253043. The reversal of 10005253040 is 4035250001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10005253043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591095 + ... + 607785.

It is an arithmetic number, because the mean of its divisors is an integer number (298052352).

Almost surely, 2^10005253040 is an apocalyptic number.

10005253040 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 10005253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922094080).

10005253040 is an abundant number, since it is smaller than the sum of its proper divisors (13838935120).

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

10005253040 is a wasteful number, since it uses less digits than its factorization.

10005253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10005253040 in words is "ten billion, five million, two hundred fifty-three thousand, forty".