10490752673856 has 1344 divisors, whose sum is σ = 41619251036160. Its totient is φ = 2560934154240.

The previous prime is 10490752673831. The next prime is 10490752673873. The reversal of 10490752673856 is 65837625709401.

10490752673856 is a `hidden beast` number, since 1 + 0 + 490 + 7 + 5 + 2 + 67 + 3 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10490752673856² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10490752673793 and 10490752673802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 784818085 + ... + 784831451.

It is an arithmetic number, because the mean of its divisors is an integer number (30966704640).

It is a 1-persistent number, because it is pandigital, but 2⋅10490752673856 = 20981505347712 is not.

Almost surely, 2^{10490752673856} is an apocalyptic number.

10490752673856 is a gapful number since it is divisible by the number (16) 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 10490752673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20809625518080).

10490752673856 is an abundant number, since it is smaller than the sum of its proper divisors (31128498362304).

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

10490752673856 is a wasteful number, since it uses less digits than its factorization.

10490752673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 10490752673856 in words is "ten trillion, four hundred ninety billion, seven hundred fifty-two million, six hundred seventy-three thousand, eight hundred fifty-six".