10451077120 has 384 divisors, whose sum is σ = 29323607040. Its totient is φ = 3538944000.

The previous prime is 10451077073. The next prime is 10451077123. The reversal of 10451077120 is 2177015401.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10451077123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143165404 + ... + 143165476.

It is an arithmetic number, because the mean of its divisors is an integer number (76363560).

Almost surely, 2^10451077120 is an apocalyptic number.

10451077120 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 10451077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661803520).

10451077120 is an abundant number, since it is smaller than the sum of its proper divisors (18872529920).

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

10451077120 is a wasteful number, since it uses less digits than its factorization.

10451077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 10451077120 in words is "ten billion, four hundred fifty-one million, seventy-seven thousand, one hundred twenty".