10745280000 has 1200 divisors, whose sum is σ = 48858185376. Its totient is φ = 2211840000.

The previous prime is 10745279999. The next prime is 10745280017. The reversal of 10745280000 is 8254701.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×10745280000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 262079980 + ... + 262080020.

Almost surely, 2^10745280000 is an apocalyptic number.

10745280000 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 10745280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429092688).

10745280000 is an abundant number, since it is smaller than the sum of its proper divisors (38112905376).

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

10745280000 is an equidigital number, since it uses as much as digits as its factorization.

10745280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10745280000 in words is "ten billion, seven hundred forty-five million, two hundred eighty thousand".