53762974720 has 704 divisors, whose sum is σ = 172333163520. Its totient is φ = 15623258112.

The previous prime is 53762974669. The next prime is 53762974721. The reversal of 53762974720 is 2747926735.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (53762974721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310768554 + ... + 310768726.

Almost surely, 2^53762974720 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 53762974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86166581760).

53762974720 is an abundant number, since it is smaller than the sum of its proper divisors (118570188800).

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

53762974720 is a wasteful number, since it uses less digits than its factorization.

53762974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 53762974720 in words is "fifty-three billion, seven hundred sixty-two million, nine hundred seventy-four thousand, seven hundred twenty".