10755668400 has 240 divisors, whose sum is σ = 34965762048. Its totient is φ = 2825984000.

The previous prime is 10755668387. The next prime is 10755668419. The reversal of 10755668400 is 486655701.

It is a tau number, because it is divible by the number of its divisors (240).

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, 38276260 + ... + 38276540.

Almost surely, 2^10755668400 is an apocalyptic number.

10755668400 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 10755668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482881024).

10755668400 is an abundant number, since it is smaller than the sum of its proper divisors (24210093648).

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

10755668400 is a wasteful number, since it uses less digits than its factorization.

10755668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 10755668400 in words is "ten billion, seven hundred fifty-five million, six hundred sixty-eight thousand, four hundred".