10745760000 has 360 divisors, whose sum is σ = 36422641024. Its totient is φ = 2810880000.

The previous prime is 10745759953. The next prime is 10745760019. The reversal of 10745760000 is 6754701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10745760000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29279817 + ... + 29280183.

Almost surely, 2^10745760000 is an apocalyptic number.

10745760000 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 10745760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211320512).

10745760000 is an abundant number, since it is smaller than the sum of its proper divisors (25676881024).

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

10745760000 is an frugal number, since it uses more digits than its factorization.

10745760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10745760000 in words is "ten billion, seven hundred forty-five million, seven hundred sixty thousand".