10836897361920 has 1456 divisors, whose sum is σ = 45061762952640. Its totient is φ = 2449175740416.

The previous prime is 10836897361919. The next prime is 10836897361957. The reversal of 10836897361920 is 2916379863801.

10836897361920 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 8 + 9 + 7 + 3 + 619 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10137415146 + ... + 10137416214.

Almost surely, 2^{10836897361920} is an apocalyptic number.

10836897361920 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 10836897361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530881476320).

10836897361920 is an abundant number, since it is smaller than the sum of its proper divisors (34224865590720).

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

10836897361920 is an frugal number, since it uses more digits than its factorization.

10836897361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10836897361920 in words is "ten trillion, eight hundred thirty-six billion, eight hundred ninety-seven million, three hundred sixty-one thousand, nine hundred twenty".