10656007691040 has 192 divisors, whose sum is σ = 37338278140800. Its totient is φ = 2838382912512.

The previous prime is 10656007691039. The next prime is 10656007691041. The reversal of 10656007691040 is 4019670065601.

10656007691040 is a `hidden beast` number, since 1 + 0 + 6 + 560 + 0 + 76 + 9 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10656007691039) and next prime (10656007691041).

It is a super-2 number, since 2×10656007691040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10656007691041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417806 + ... + 5211314.

It is an arithmetic number, because the mean of its divisors is an integer number (194470198650).

Almost surely, 2^{10656007691040} is an apocalyptic number.

10656007691040 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 10656007691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18669139070400).

10656007691040 is an abundant number, since it is smaller than the sum of its proper divisors (26682270449760).

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

10656007691040 is a wasteful number, since it uses less digits than its factorization.

10656007691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794416 (or 2794402 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10656007691040 in words is "ten trillion, six hundred fifty-six billion, seven million, six hundred ninety-one thousand, forty".