10451077128 has 48 divisors (see below), whose sum is σ = 29070007980. Its totient is φ = 3389537664.

The previous prime is 10451077123. The next prime is 10451077163. The reversal of 10451077128 is 82177015401.

10451077128 is a `hidden beast` number, since 10 + 4 + 510 + 7 + 7 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8612211204 + 1838865924 = 92802^2 + 42882^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10451077092 and 10451077101.

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 11 ways as a sum of consecutive naturals, for example, 1958875 + ... + 1964202.

Almost surely, 2^10451077128 is an apocalyptic number.

10451077128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10451077128 is an abundant number, since it is smaller than the sum of its proper divisors (18618930852).

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

10451077128 is a wasteful number, since it uses less digits than its factorization.

10451077128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923126 (or 3923119 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 10451077128 in words is "ten billion, four hundred fifty-one million, seventy-seven thousand, one hundred twenty-eight".