10455028920 has 384 divisors, whose sum is σ = 41580864000. Its totient is φ = 2224972800.

The previous prime is 10455028853. The next prime is 10455028933. The reversal of 10455028920 is 2982055401.

10455028920 is a `hidden beast` number, since 1 + 0 + 4 + 550 + 2 + 89 + 20 = 666.

10455028920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823070 + ... + 2826770.

It is an arithmetic number, because the mean of its divisors is an integer number (108283500).

Almost surely, 2^10455028920 is an apocalyptic number.

10455028920 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 10455028920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790432000).

10455028920 is an abundant number, since it is smaller than the sum of its proper divisors (31125835080).

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

10455028920 is a wasteful number, since it uses less digits than its factorization.

10455028920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3796 counting only the distinct ones).

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

The spelling of 10455028920 in words is "ten billion, four hundred fifty-five million, twenty-eight thousand, nine hundred twenty".