10751650400 has 144 divisors (see below), whose sum is σ = 26610734304. Its totient is φ = 4241633280.

The previous prime is 10751650387. The next prime is 10751650411. The reversal of 10751650400 is 405615701.

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, 28824614 + ... + 28824986.

It is an arithmetic number, because the mean of its divisors is an integer number (184796766).

Almost surely, 2^10751650400 is an apocalyptic number.

10751650400 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 10751650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305367152).

10751650400 is an abundant number, since it is smaller than the sum of its proper divisors (15859083904).

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

10751650400 is a wasteful number, since it uses less digits than its factorization.

10751650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 10751650400 in words is "ten billion, seven hundred fifty-one million, six hundred fifty thousand, four hundred".