10754798400 has 252 divisors, whose sum is σ = 40474548972. Its totient is φ = 2699182080.

The previous prime is 10754798377. The next prime is 10754798407. The reversal of 10754798400 is 489745701.

It is a happy number.

10754798400 is a `hidden beast` number, since 10 + 7 + 547 + 98 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 872847936 + 9881950464 = 29544^2 + 99408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10754798407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222834 + ... + 266766.

Almost surely, 2^10754798400 is an apocalyptic number.

10754798400 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 10754798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237274486).

10754798400 is an abundant number, since it is smaller than the sum of its proper divisors (29719750572).

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

10754798400 is a wasteful number, since it uses less digits than its factorization.

10754798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43978 (or 43960 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10754798400 in words is "ten billion, seven hundred fifty-four million, seven hundred ninety-eight thousand, four hundred".