10741976000 has 336 divisors, whose sum is σ = 31484437920. Its totient is φ = 3619123200.

The previous prime is 10741975999. The next prime is 10741976041. The reversal of 10741976000 is 67914701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26263796 + ... + 26264204.

Almost surely, 2^10741976000 is an apocalyptic number.

10741976000 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 10741976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742218960).

10741976000 is an abundant number, since it is smaller than the sum of its proper divisors (20742461920).

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

10741976000 is an equidigital number, since it uses as much as digits as its factorization.

10741976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 10741976000 in words is "ten billion, seven hundred forty-one million, nine hundred seventy-six thousand".