10656125500240 has 320 divisors, whose sum is σ = 27718225920000. Its totient is φ = 3777412055040.

The previous prime is 10656125500183. The next prime is 10656125500271. The reversal of 10656125500240 is 4200552165601.

It is a super-2 number, since 2×10656125500240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10656125500240.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3230106111 + ... + 3230109409.

It is an arithmetic number, because the mean of its divisors is an integer number (86619456000).

Almost surely, 2^{10656125500240} is an apocalyptic number.

10656125500240 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 10656125500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859112960000).

10656125500240 is an abundant number, since it is smaller than the sum of its proper divisors (17062100419760).

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

10656125500240 is a wasteful number, since it uses less digits than its factorization.

10656125500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 10656125500240 its reverse (4200552165601), we get a palindrome (14856677665841).

The spelling of 10656125500240 in words is "ten trillion, six hundred fifty-six billion, one hundred twenty-five million, five hundred thousand, two hundred forty".