53151732746640 has 560 divisors, whose sum is σ = 202877774902080. Its totient is φ = 12837326238720.

The previous prime is 53151732746627. The next prime is 53151732746647. The reversal of 53151732746640 is 4664723715135.

53151732746640 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 173 + 2 + 7 + 466 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53151732746647) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 172414879 + ... + 172722881.

Almost surely, 2^{53151732746640} 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 53151732746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101438887451040).

53151732746640 is an abundant number, since it is smaller than the sum of its proper divisors (149726042155440).

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

53151732746640 is a wasteful number, since it uses less digits than its factorization.

53151732746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308314 (or 308293 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 53151732746640 in words is "fifty-three trillion, one hundred fifty-one billion, seven hundred thirty-two million, seven hundred forty-six thousand, six hundred forty".