10742548800 has 168 divisors, whose sum is σ = 35910353376. Its totient is φ = 2810562560.

The previous prime is 10742548799. The next prime is 10742548813. The reversal of 10742548800 is 884524701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233287 + ... + 275513.

Almost surely, 2^10742548800 is an apocalyptic number.

10742548800 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 10742548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955176688).

10742548800 is an abundant number, since it is smaller than the sum of its proper divisors (25167804576).

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

10742548800 is a wasteful number, since it uses less digits than its factorization.

10742548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42305 (or 42290 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10742548800 in words is "ten billion, seven hundred forty-two million, five hundred forty-eight thousand, eight hundred".