10200126552 has 384 divisors, whose sum is σ = 33723060480. Its totient is φ = 2540160000.

The previous prime is 10200126479. The next prime is 10200126569. The reversal of 10200126552 is 25562100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 48341727 + ... + 48341937.

It is an arithmetic number, because the mean of its divisors is an integer number (87820470).

Almost surely, 2^10200126552 is an apocalyptic number.

10200126552 is a gapful number since it is divisible by the number (12) 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 10200126552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861530240).

10200126552 is an abundant number, since it is smaller than the sum of its proper divisors (23522933928).

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

10200126552 is a wasteful number, since it uses less digits than its factorization.

10200126552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10200126552 its reverse (25562100201), we get a palindrome (35762226753).

The spelling of 10200126552 in words is "ten billion, two hundred million, one hundred twenty-six thousand, five hundred fifty-two".