10214550504 has 96 divisors (see below), whose sum is σ = 29844589320. Its totient is φ = 3144081408.

The previous prime is 10214550503. The next prime is 10214550509. The reversal of 10214550504 is 40505541201.

10214550504 is a `hidden beast` number, since 10 + 2 + 145 + 5 + 0 + 504 = 666.

10214550504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8845402500 + 1369148004 = 94050^2 + 37002^2 .

It is not an unprimeable number, because it can be changed into a prime (10214550503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13857 + ... + 143600.

Almost surely, 2^10214550504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214550504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922294660).

10214550504 is an abundant number, since it is smaller than the sum of its proper divisors (19630038816).

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

10214550504 is a wasteful number, since it uses less digits than its factorization.

10214550504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157539 (or 157532 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10214550504 in words is "ten billion, two hundred fourteen million, five hundred fifty thousand, five hundred four".