10496606765040 has 600 divisors, whose sum is σ = 40119795699984. Its totient is φ = 2541582489600.

The previous prime is 10496606765017. The next prime is 10496606765089. The reversal of 10496606765040 is 4056760669401.

10496606765040 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 6 + 60 + 6 + 76 + 504 + 0 = 666.

It is a super-2 number, since 2×10496606765040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 692335060 + ... + 692350220.

Almost surely, 2^{10496606765040} is an apocalyptic number.

10496606765040 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 10496606765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059897849992).

10496606765040 is an abundant number, since it is smaller than the sum of its proper divisors (29623188934944).

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

10496606765040 is a wasteful number, since it uses less digits than its factorization.

10496606765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16091 (or 16065 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10496606765040 in words is "ten trillion, four hundred ninety-six billion, six hundred six million, seven hundred sixty-five thousand, forty".