10016055504 has 480 divisors, whose sum is σ = 37101792000. Its totient is φ = 2499517440.

The previous prime is 10016055499. The next prime is 10016055541. The reversal of 10016055504 is 40555061001.

It is a happy number.

10016055504 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 605 + 5 + 50 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12199414 + ... + 12200234.

It is an arithmetic number, because the mean of its divisors is an integer number (77295400).

Almost surely, 2^10016055504 is an apocalyptic number.

10016055504 is a gapful number since it is divisible by the number (14) 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 10016055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550896000).

10016055504 is an abundant number, since it is smaller than the sum of its proper divisors (27085736496).

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

10016055504 is a wasteful number, since it uses less digits than its factorization.

10016055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10016055504 in words is "ten billion, sixteen million, fifty-five thousand, five hundred four".