10054713600 has 432 divisors, whose sum is σ = 38079229440. Its totient is φ = 2593382400.

The previous prime is 10054713593. The next prime is 10054713667. The reversal of 10054713600 is 631745001.

10054713600 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 47 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5355862 + ... + 5357738.

Almost surely, 2^10054713600 is an apocalyptic number.

10054713600 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 10054713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039614720).

10054713600 is an abundant number, since it is smaller than the sum of its proper divisors (28024515840).

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

10054713600 is a wasteful number, since it uses less digits than its factorization.

10054713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10054713600 in words is "ten billion, fifty-four million, seven hundred thirteen thousand, six hundred".