10186003968 has 480 divisors, whose sum is σ = 35266492800. Its totient is φ = 2588737536.

The previous prime is 10186003967. The next prime is 10186003969. The reversal of 10186003968 is 86930068101.

It is an interprime number because it is at equal distance from previous prime (10186003967) and next prime (10186003969).

It is a super-2 number, since 2×10186003968² (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 not an unprimeable number, because it can be changed into a prime (10186003967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24310063 + ... + 24310481.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 2^10186003968 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 10186003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633246400).

10186003968 is an abundant number, since it is smaller than the sum of its proper divisors (25080488832).

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

10186003968 is a wasteful number, since it uses less digits than its factorization.

10186003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10186003968 in words is "ten billion, one hundred eighty-six million, three thousand, nine hundred sixty-eight".