10749186551040 has 576 divisors, whose sum is σ = 40022019717120. Its totient is φ = 2407898972160.

The previous prime is 10749186551027. The next prime is 10749186551041. The reversal of 10749186551040 is 4015568194701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749186551041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524929282 + ... + 524949758.

It is an arithmetic number, because the mean of its divisors is an integer number (69482673120).

Almost surely, 2^{10749186551040} is an apocalyptic number.

10749186551040 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 10749186551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011009858560).

10749186551040 is an abundant number, since it is smaller than the sum of its proper divisors (29272833166080).

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

10749186551040 is a wasteful number, since it uses less digits than its factorization.

10749186551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20898 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 10749186551040 in words is "ten trillion, seven hundred forty-nine billion, one hundred eighty-six million, five hundred fifty-one thousand, forty".