10023575040 has 560 divisors, whose sum is σ = 37193775696. Its totient is φ = 2587852800.

The previous prime is 10023575033. The next prime is 10023575047. The reversal of 10023575040 is 4057532001.

It is a happy number.

10023575040 is a `hidden beast` number, since 100 + 2 + 3 + 57 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10023575033) and next prime (10023575047).

It is a super-2 number, since 2×10023575040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10023574995 and 10023575013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023575047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76515775 + ... + 76515905.

Almost surely, 2^10023575040 is an apocalyptic number.

10023575040 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 10023575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596887848).

10023575040 is an abundant number, since it is smaller than the sum of its proper divisors (27170200656).

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

10023575040 is an frugal number, since it uses more digits than its factorization.

10023575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10023575040 in words is "ten billion, twenty-three million, five hundred seventy-five thousand, forty".