10454515560 has 128 divisors (see below), whose sum is σ = 35289792000. Its totient is φ = 2752558848.

The previous prime is 10454515529. The next prime is 10454515601. The reversal of 10454515560 is 6551545401.

10454515560 is a `hidden beast` number, since 1 + 0 + 4 + 54 + 51 + 556 + 0 = 666.

It is a super-2 number, since 2×10454515560² (a number of 21 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 24054 + ... + 146586.

It is an arithmetic number, because the mean of its divisors is an integer number (275701500).

Almost surely, 2^10454515560 is an apocalyptic number.

10454515560 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 10454515560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644896000).

10454515560 is an abundant number, since it is smaller than the sum of its proper divisors (24835276440).

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

10454515560 is a wasteful number, since it uses less digits than its factorization.

10454515560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122632 (or 122622 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10454515560 in words is "ten billion, four hundred fifty-four million, five hundred fifteen thousand, five hundred sixty".