10086362640 has 240 divisors, whose sum is σ = 34501958400. Its totient is φ = 2640273408.

The previous prime is 10086362617. The next prime is 10086362651. The reversal of 10086362640 is 4626368001.

10086362640 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 3 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10086362640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10086362595 and 10086362604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9707241 + ... + 9708279.

It is an arithmetic number, because the mean of its divisors is an integer number (143758160).

Almost surely, 2^10086362640 is an apocalyptic number.

10086362640 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 10086362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250979200).

10086362640 is an abundant number, since it is smaller than the sum of its proper divisors (24415595760).

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

10086362640 is a wasteful number, since it uses less digits than its factorization.

10086362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10086362640 in words is "ten billion, eighty-six million, three hundred sixty-two thousand, six hundred forty".