10950454800 has 630 divisors, whose sum is σ = 42672453498. Its totient is φ = 2689873920.

The previous prime is 10950454771. The next prime is 10950454807. The reversal of 10950454800 is 845405901.

10950454800 is a `hidden beast` number, since 109 + 5 + 0 + 4 + 548 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1649009664 + 9301445136 = 40608^2 + 96444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10950454807) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 232988377 + ... + 232988423.

Almost surely, 2^10950454800 is an apocalyptic number.

10950454800 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 10950454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336226749).

10950454800 is an abundant number, since it is smaller than the sum of its proper divisors (31721998698).

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

10950454800 is an equidigital number, since it uses as much as digits as its factorization.

10950454800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10950454800 in words is "ten billion, nine hundred fifty million, four hundred fifty-four thousand, eight hundred".