10550835736896 has 672 divisors, whose sum is σ = 37312146571392. Its totient is φ = 2598894305280.

The previous prime is 10550835736849. The next prime is 10550835736907. The reversal of 10550835736896 is 69863753805501.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10550835736896² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272351640 + ... + 272390376.

It is an arithmetic number, because the mean of its divisors is an integer number (55524027636).

Almost surely, 2^{10550835736896} is an apocalyptic number.

10550835736896 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 10550835736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656073285696).

10550835736896 is an abundant number, since it is smaller than the sum of its proper divisors (26761310834496).

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

10550835736896 is a wasteful number, since it uses less digits than its factorization.

10550835736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38927 (or 38910 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 66.

The spelling of 10550835736896 in words is "ten trillion, five hundred fifty billion, eight hundred thirty-five million, seven hundred thirty-six thousand, eight hundred ninety-six".