10649029838310 has 64 divisors (see below), whose sum is σ = 28401995381760. Its totient is φ = 2839283042400.

The previous prime is 10649029838309. The next prime is 10649029838323. The reversal of 10649029838310 is 1383892094601.

10649029838310 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 9 + 0 + 298 + 38 + 310 = 666.

It is a super-2 number, since 2×10649029838310² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504366 + ... + 4853985.

It is an arithmetic number, because the mean of its divisors is an integer number (443781177840).

Almost surely, 2^{10649029838310} is an apocalyptic number.

10649029838310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10649029838310 is an abundant number, since it is smaller than the sum of its proper divisors (17752965543450).

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

10649029838310 is a wasteful number, since it uses less digits than its factorization.

10649029838310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364570 (or 6364564 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10649029838310 in words is "ten trillion, six hundred forty-nine billion, twenty-nine million, eight hundred thirty-eight thousand, three hundred ten".