10421772504 has 128 divisors (see below), whose sum is σ = 30659731200. Its totient is φ = 2910389760.

The previous prime is 10421772503. The next prime is 10421772533. The reversal of 10421772504 is 40527712401.

10421772504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10421772504³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421772503) 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 31 ways as a sum of consecutive naturals, for example, 2431147 + ... + 2435429.

It is an arithmetic number, because the mean of its divisors is an integer number (239529150).

Almost surely, 2^10421772504 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 10421772504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329865600).

10421772504 is an abundant number, since it is smaller than the sum of its proper divisors (20237958696).

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

10421772504 is a wasteful number, since it uses less digits than its factorization.

10421772504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 10421772504 in words is "ten billion, four hundred twenty-one million, seven hundred seventy-two thousand, five hundred four".