53146292355072 has 1920 divisors, whose sum is σ = 195695709739200. Its totient is φ = 14302911135744.

The previous prime is 53146292355067. The next prime is 53146292355209. The reversal of 53146292355072 is 27055329264135.

53146292355072 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 62 + 9 + 23 + 550 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 326050873263 + ... + 326050873425.

Almost surely, 2^{53146292355072} 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 53146292355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97847854869600).

53146292355072 is an abundant number, since it is smaller than the sum of its proper divisors (142549417384128).

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

53146292355072 is a wasteful number, since it uses less digits than its factorization.

53146292355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 53146292355072 in words is "fifty-three trillion, one hundred forty-six billion, two hundred ninety-two million, three hundred fifty-five thousand, seventy-two".