53142058819600 has 135 divisors (see below), whose sum is σ = 128139605341797. Its totient is φ = 21179551011840.

The previous prime is 53142058819579. The next prime is 53142058819621. The reversal of 53142058819600 is 691885024135.

It is a happy number.

The square root of 53142058819600 is 7289860.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (53142058819579) and next prime (53142058819621).

It can be written as a sum of positive squares in 13 ways, for example, as 51277457645584 + 1864601174016 = 7160828^2 + 1365504^2 .

It is a super-2 number, since 2×53142058819600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56715110332 + ... + 56715111268.

Almost surely, 2^{53142058819600} is an apocalyptic number.

53142058819600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53142058819600 is the 7289860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53142058819600

53142058819600 is an abundant number, since it is smaller than the sum of its proper divisors (74997546522197).

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

53142058819600 is an frugal number, since it uses more digits than its factorization.

53142058819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 53142058819600 in words is "fifty-three trillion, one hundred forty-two billion, fifty-eight million, eight hundred nineteen thousand, six hundred".