53005296901140 has 288 divisors, whose sum is σ = 170443452160800. Its totient is φ = 13309811343360.

The previous prime is 53005296901087. The next prime is 53005296901147. The reversal of 53005296901140 is 4110969250035.

53005296901140 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 529 + 6 + 9 + 0 + 114 + 0 = 666.

53005296901140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 26055368966916 + 26949927934224 = 5104446^2 + 5191332^2 .

It is a super-2 number, since 2×53005296901140² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005296901147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631959126 + ... + 632042994.

It is an arithmetic number, because the mean of its divisors is an integer number (591817542225).

Almost surely, 2^{53005296901140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005296901140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85221726080400).

53005296901140 is an abundant number, since it is smaller than the sum of its proper divisors (117438155259660).

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

53005296901140 is a wasteful number, since it uses less digits than its factorization.

53005296901140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86907 (or 86902 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 53005296901140 in words is "fifty-three trillion, five billion, two hundred ninety-six million, nine hundred one thousand, one hundred forty".