10055985408 has 324 divisors, whose sum is σ = 34987352400. Its totient is φ = 2872267776.

The previous prime is 10055985403. The next prime is 10055985421. The reversal of 10055985408 is 80458955001.

It is a happy number.

10055985408 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 598 + 54 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×10055985408² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055985403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046543 + ... + 3049841.

Almost surely, 2^10055985408 is an apocalyptic number.

10055985408 is a gapful number since it is divisible by the number (18) 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 10055985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493676200).

10055985408 is an abundant number, since it is smaller than the sum of its proper divisors (24931366992).

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

10055985408 is an frugal number, since it uses more digits than its factorization.

10055985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 10055985408 in words is "ten billion, fifty-five million, nine hundred eighty-five thousand, four hundred eight".