10022025000 has 384 divisors, whose sum is σ = 35566473600. Its totient is φ = 2332800000.

The previous prime is 10022024989. The next prime is 10022025043. The reversal of 10022025000 is 52022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18524730 + ... + 18525270.

It is an arithmetic number, because the mean of its divisors is an integer number (92621025).

Almost surely, 2^10022025000 is an apocalyptic number.

10022025000 is a gapful number since it is divisible by the number (10) 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 10022025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783236800).

10022025000 is an abundant number, since it is smaller than the sum of its proper divisors (25544448600).

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

10022025000 is a wasteful number, since it uses less digits than its factorization.

10022025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 10022025000 its reverse (52022001), we get a palindrome (10074047001).

The spelling of 10022025000 in words is "ten billion, twenty-two million, twenty-five thousand".