10749412800 has 1260 divisors, whose sum is σ = 49139240304. Its totient is φ = 2256076800.

The previous prime is 10749412703. The next prime is 10749412873. The reversal of 10749412800 is 821494701.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 262180780 + ... + 262180820.

Almost surely, 2^10749412800 is an apocalyptic number.

10749412800 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 10749412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24569620152).

10749412800 is an abundant number, since it is smaller than the sum of its proper divisors (38389827504).

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

10749412800 is a wasteful number, since it uses less digits than its factorization.

10749412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10749412800 in words is "ten billion, seven hundred forty-nine million, four hundred twelve thousand, eight hundred".