10454487120 has 1080 divisors, whose sum is σ = 46926996480. Its totient is φ = 2075673600.

The previous prime is 10454487103. The next prime is 10454487143. The reversal of 10454487120 is 2178445401.

It is a happy number.

10454487120 is a `hidden beast` number, since 1 + 0 + 4 + 54 + 487 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 132335241 + ... + 132335319.

Almost surely, 2^10454487120 is an apocalyptic number.

10454487120 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 10454487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463498240).

10454487120 is an abundant number, since it is smaller than the sum of its proper divisors (36472509360).

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

10454487120 is a wasteful number, since it uses less digits than its factorization.

10454487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10454487120 in words is "ten billion, four hundred fifty-four million, four hundred eighty-seven thousand, one hundred twenty".