10451005920 has 144 divisors (see below), whose sum is σ = 35699659632. Its totient is φ = 2784153600.

The previous prime is 10451005891. The next prime is 10451005951. The reversal of 10451005920 is 2950015401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726419 + ... + 1732461.

It is an arithmetic number, because the mean of its divisors is an integer number (247914303).

Almost surely, 2^10451005920 is an apocalyptic number.

10451005920 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 10451005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849829816).

10451005920 is an abundant number, since it is smaller than the sum of its proper divisors (25248653712).

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

10451005920 is a wasteful number, since it uses less digits than its factorization.

10451005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10451005920 in words is "ten billion, four hundred fifty-one million, five thousand, nine hundred twenty".