10748836800 has 504 divisors, whose sum is σ = 41805459696. Its totient is φ = 2603335680.

The previous prime is 10748836781. The next prime is 10748836829. The reversal of 10748836800 is 863884701.

10748836800 is a `hidden beast` number, since 107 + 488 + 3 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12541972 + ... + 12542828.

Almost surely, 2^10748836800 is an apocalyptic number.

10748836800 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 10748836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902729848).

10748836800 is an abundant number, since it is smaller than the sum of its proper divisors (31056622896).

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

10748836800 is a wasteful number, since it uses less digits than its factorization.

10748836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10748836800 in words is "ten billion, seven hundred forty-eight million, eight hundred thirty-six thousand, eight hundred".