10152626022 has 384 divisors, whose sum is σ = 30443212800. Its totient is φ = 2456438400.

The previous prime is 10152625997. The next prime is 10152626027. The reversal of 10152626022 is 22062625101.

10152626022 is a `hidden beast` number, since 1 + 0 + 1 + 52 + 6 + 2 + 602 + 2 = 666.

10152626022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152626027) 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 191 ways as a sum of consecutive naturals, for example, 77500897 + ... + 77501027.

It is an arithmetic number, because the mean of its divisors is an integer number (79279200).

Almost surely, 2^10152626022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10152626022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221606400).

10152626022 is an abundant number, since it is smaller than the sum of its proper divisors (20290586778).

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

10152626022 is a wasteful number, since it uses less digits than its factorization.

10152626022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10152626022 in words is "ten billion, one hundred fifty-two million, six hundred twenty-six thousand, twenty-two".