53040091653120 has 2816 divisors, whose sum is σ = 222202815528960. Its totient is φ = 10588520448000.

The previous prime is 53040091653113. The next prime is 53040091653149. The reversal of 53040091653120 is 2135619004035.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 255 ways as a sum of consecutive naturals, for example, 129682375476 + ... + 129682375884.

Almost surely, 2^{53040091653120} 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 53040091653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111101407764480).

53040091653120 is an abundant number, since it is smaller than the sum of its proper divisors (169162723875840).

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

53040091653120 is a wasteful number, since it uses less digits than its factorization.

53040091653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 53040091653120 in words is "fifty-three trillion, forty billion, ninety-one million, six hundred fifty-three thousand, one hundred twenty".