53742204810000 has 2250 divisors, whose sum is σ = 233798281624710. Its totient is φ = 11879239680000.

The previous prime is 53742204809989. The next prime is 53742204810043. The reversal of 53742204810000 is 1840224735.

It is a happy number.

53742204810000 is a `hidden beast` number, since 5 + 374 + 2 + 204 + 81 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 38667901595904 + 15074303214096 = 6218352^2 + 3882564^2 .

It is a tau number, because it is divible by the number of its divisors (2250).

It is a super-2 number, since 2×53742204810000² (a number of 28 digits) contains 22 as substring.

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

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 449 ways as a sum of consecutive naturals, for example, 38142089296 + ... + 38142090704.

Almost surely, 2^{53742204810000} is an apocalyptic number.

53742204810000 is a gapful number since it is divisible by the number (50) 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 53742204810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899140812355).

53742204810000 is an abundant number, since it is smaller than the sum of its proper divisors (180056076814710).

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

53742204810000 is a wasteful number, since it uses less digits than its factorization.

53742204810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 53742204810000 in words is "fifty-three trillion, seven hundred forty-two billion, two hundred four million, eight hundred ten thousand".