10451695680 has 280 divisors, whose sum is σ = 37570839768. Its totient is φ = 2757722112.

The previous prime is 10451695669. The next prime is 10451695697. The reversal of 10451695680 is 8659615401.

10451695680 is a `hidden beast` number, since 1 + 0 + 4 + 516 + 9 + 56 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 764411904 + 9687283776 = 27648^2 + 98424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2512162 + ... + 2516318.

Almost surely, 2^10451695680 is an apocalyptic number.

10451695680 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 10451695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785419884).

10451695680 is an abundant number, since it is smaller than the sum of its proper divisors (27119144088).

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

10451695680 is an equidigital number, since it uses as much as digits as its factorization.

10451695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10451695680 in words is "ten billion, four hundred fifty-one million, six hundred ninety-five thousand, six hundred eighty".