10244767356096 has 896 divisors, whose sum is σ = 35690860800000. Its totient is φ = 2531679141888.

The previous prime is 10244767356067. The next prime is 10244767356101. The reversal of 10244767356096 is 69065376744201.

It is a super-2 number, since 2×10244767356096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20530595655 + ... + 20530596153.

It is an arithmetic number, because the mean of its divisors is an integer number (39833550000).

Almost surely, 2^{10244767356096} is an apocalyptic number.

10244767356096 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 10244767356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845430400000).

10244767356096 is an abundant number, since it is smaller than the sum of its proper divisors (25446093443904).

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

10244767356096 is a wasteful number, since it uses less digits than its factorization.

10244767356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 10244767356096 in words is "ten trillion, two hundred forty-four billion, seven hundred sixty-seven million, three hundred fifty-six thousand, ninety-six".