10054460160 has 216 divisors, whose sum is σ = 34862995440. Its totient is φ = 2675367936.

The previous prime is 10054460153. The next prime is 10054460173. The reversal of 10054460160 is 6106445001.

10054460160 is a `hidden beast` number, since 1 + 0 + 0 + 54 + 4 + 601 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9065686 + ... + 9066794.

Almost surely, 2^10054460160 is an apocalyptic number.

10054460160 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 10054460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431497720).

10054460160 is an abundant number, since it is smaller than the sum of its proper divisors (24808535280).

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

10054460160 is a wasteful number, since it uses less digits than its factorization.

10054460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10054460160 in words is "ten billion, fifty-four million, four hundred sixty thousand, one hundred sixty".