10746526836000 has 768 divisors, whose sum is σ = 36991492521984. Its totient is φ = 2724134400000.

The previous prime is 10746526835981. The next prime is 10746526836043. The reversal of 10746526836000 is 63862564701.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 5019394930 + ... + 5019397070.

It is an arithmetic number, because the mean of its divisors is an integer number (48166005888).

Almost surely, 2^{10746526836000} is an apocalyptic number.

10746526836000 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 10746526836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495746260992).

10746526836000 is an abundant number, since it is smaller than the sum of its proper divisors (26244965685984).

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

10746526836000 is a wasteful number, since it uses less digits than its factorization.

10746526836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 10746526836000 in words is "ten trillion, seven hundred forty-six billion, five hundred twenty-six million, eight hundred thirty-six thousand".