10738512884800 has 336 divisors, whose sum is σ = 27012758572800. Its totient is φ = 4200947712000.

The previous prime is 10738512884731. The next prime is 10738512884819. The reversal of 10738512884800 is 848821583701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5509754226 + ... + 5509756174.

It is an arithmetic number, because the mean of its divisors is an integer number (80395114800).

Almost surely, 2^{10738512884800} is an apocalyptic number.

10738512884800 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 10738512884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506379286400).

10738512884800 is an abundant number, since it is smaller than the sum of its proper divisors (16274245688000).

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

10738512884800 is a wasteful number, since it uses less digits than its factorization.

10738512884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 10738512884800 in words is "ten trillion, seven hundred thirty-eight billion, five hundred twelve million, eight hundred eighty-four thousand, eight hundred".