10506486266640 has 1920 divisors, whose sum is σ = 46684691988480. Its totient is φ = 2061873709056.

The previous prime is 10506486266611. The next prime is 10506486266651. The reversal of 10506486266640 is 4666268460501.

It is a super-2 number, since 2×10506486266640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40881269392 + ... + 40881269648.

It is an arithmetic number, because the mean of its divisors is an integer number (24314943744).

Almost surely, 2^{10506486266640} is an apocalyptic number.

10506486266640 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 10506486266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342345994240).

10506486266640 is an abundant number, since it is smaller than the sum of its proper divisors (36178205721840).

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

10506486266640 is a wasteful number, since it uses less digits than its factorization.

10506486266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 10506486266640 in words is "ten trillion, five hundred six billion, four hundred eighty-six million, two hundred sixty-six thousand, six hundred forty".