1053426124800 has 1440 divisors, whose sum is σ = 4509305760960. Its totient is φ = 238082457600.

The previous prime is 1053426124799. The next prime is 1053426124801. The reversal of 1053426124800 is 84216243501.

It is a happy number.

1053426124800 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 2 + 612 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1053426124799) and next prime (1053426124801).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1053426124800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053426124801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3802982262 + ... + 3802982538.

It is an arithmetic number, because the mean of its divisors is an integer number (3131462334).

Almost surely, 2^{1053426124800} is an apocalyptic number.

1053426124800 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 1053426124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254652880480).

1053426124800 is an abundant number, since it is smaller than the sum of its proper divisors (3455879636160).

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

1053426124800 is a wasteful number, since it uses less digits than its factorization.

1053426124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1053426124800 in words is "one trillion, fifty-three billion, four hundred twenty-six million, one hundred twenty-four thousand, eight hundred".