126215441550 has 288 divisors, whose sum is σ = 381943411200. Its totient is φ = 29612563200.

The previous prime is 126215441549. The next prime is 126215441551. The reversal of 126215441550 is 55144512621.

126215441550 is a `hidden beast` number, since 1 + 2 + 62 + 1 + 5 + 4 + 41 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (126215441549) and next prime (126215441551).

It is a super-2 number, since 2×126215441550² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126215441551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36445119 + ... + 36448581.

It is an arithmetic number, because the mean of its divisors is an integer number (1326192400).

Almost surely, 2^126215441550 is an apocalyptic number.

126215441550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126215441550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190971705600).

126215441550 is an abundant number, since it is smaller than the sum of its proper divisors (255727969650).

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

126215441550 is a wasteful number, since it uses less digits than its factorization.

126215441550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 126215 and 441550, that added together give a palindrome (567765).

The spelling of 126215441550 in words is "one hundred twenty-six billion, two hundred fifteen million, four hundred forty-one thousand, five hundred fifty".