10746688495200 has 288 divisors, whose sum is σ = 39985642255104. Its totient is φ = 2455896791040.

The previous prime is 10746688495187. The next prime is 10746688495241. The reversal of 10746688495200 is 259488664701.

It is a happy number.

It is a super-2 number, since 2×10746688495200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 87920527 + ... + 88042673.

It is an arithmetic number, because the mean of its divisors is an integer number (138839035608).

Almost surely, 2^{10746688495200} is an apocalyptic number.

10746688495200 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 10746688495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992821127552).

10746688495200 is an abundant number, since it is smaller than the sum of its proper divisors (29238953759904).

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

10746688495200 is a wasteful number, since it uses less digits than its factorization.

10746688495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127414 (or 127401 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 10746688495200 in words is "ten trillion, seven hundred forty-six billion, six hundred eighty-eight million, four hundred ninety-five thousand, two hundred".