10755455400 has 480 divisors, whose sum is σ = 39889634400. Its totient is φ = 2678054400.

The previous prime is 10755455393. The next prime is 10755455423. The reversal of 10755455400 is 455455701.

10755455400 is a `hidden beast` number, since 1 + 0 + 75 + 5 + 45 + 540 + 0 = 666.

It is a super-2 number, since 2×10755455400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25547190 + ... + 25547610.

It is an arithmetic number, because the mean of its divisors is an integer number (83103405).

Almost surely, 2^10755455400 is an apocalyptic number.

10755455400 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 10755455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944817200).

10755455400 is an abundant number, since it is smaller than the sum of its proper divisors (29134179000).

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

10755455400 is a wasteful number, since it uses less digits than its factorization.

10755455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 10755455400 in words is "ten billion, seven hundred fifty-five million, four hundred fifty-five thousand, four hundred".